IM 6.1.2 Lesson: Finding Area by Decomposing and Rearranging

[size=150]You may recall the term [b][i]area[/i][/b] tells us something about the number of squares inside a two-dimensional shape.[/size][br][br]Below are four drawings that each show squares inside a shape. Select all drawings whose squares you think could be used to find the area of the shape. 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JmEfRTeR/rM5fCOTcX007dMwmYpRx7tKk/pS+T2H6QthcL7JHZA6tg54ia2UtsvzsvXJCIObu7uJrFg2SDw8vH1BV3ksK3viY6ROkdjHXTH0PupTWgem4JRb30AinYzVl3U56WFf25+wej99BaTqA9p1DpjCOKGjBPuASU0mn3+G/RZ+gJcGjcFuQ737Nlj7H7cLM9fAi9LS8T0H4GZZ782un1MPvw5YoeMRfSAkSZjHx1nLEXzNimYduqmSdRpxOun0DQ6CZnLt+nwe93FrHN34J2QhpQxs0H9gLqPquh50qHPET+8QLgOu3btiu+//96oNmMweNnWqgNXn0CR6ZOyfRrviEBdL2/Y1XEWox3j1aNUg4YtwmBt7yDq5RkSYURt1HWKgGM9N9Rx8wDVTRmNIlDf2x82tWrD1tYW06dPN6nV+0a1SgVPXhZetV0bwDM4XKHfX932Hn2mNljbrSEcqT5G7TvUdYsQ87N2dZzg0bK1SdTJza8lbGs7oV5TX93qExwB+zrOcGrYGFJ9EV27S6NmsLC0FMtcDh06pGBLffRUBoOXq7e/iCjr9dRmGPVYvAlR/fIFuNIKFhm3LsVadJ23Gk4eXojuPwq9ntpk/Dot3oRmMW3Fzhdd565SrE49n3wWwZ0zYGFhgb59+wnXIUcdPmqkhnylFF4q+CakoeeijUZvj13mPCNyv1F9TMI+ntqE0J4D4e7fEt0XrDOJOrWftABuvkFoM2iMDr/XJpANNghshZbpvdFrsVRftAlpBQvRMCgUXl5eWLt2rVHnvQwCL1+123Dbe8I/TL5Vox0XityG5K8e9dbZomFx4T3j1afwPijVAM15FbkNjVsXcg8UuQ1pzmt8sdtQqTrdQ5+lW1C3cXNERERg7969RjUGQ0LCVMsugZdKhZgBI4vchsa018L7mHz4EmKHjCt2GyrVFivpo4qnPNJnLiue8yK3ofHrRG7DojmvbfL7sgv3QGu4fBLTkDJ2dqk7tLLf/8I9TD5yGUkjpkOlUqFHjx4wZtShAeEVD9MI2CiTz2v3OdMI2DhBARshphGwcZGMlgI2hiFumHIBG+pJZtrrMCC1CxwcHLBo0SLOsKww5R6G16xzt2UHAKh/U12fC45cFvOvMQNHmYS90o13+qzigI33b5lEndQBG1nPyA/YoOAMmnsuDdig4LGqA8gI3P3W7YS1Qy2EhoVh//79RrvhNCi8crabQrRhGXhxMsoKO6ZH4KVgNOaMM18iacQ0WFpZoW/fvrh8+bLC3bd5n87k4SXRmeoKSk2+XwKvuFRMr4nwSlJHG1YNLrVWlJevWXSSWLA8f/58sUMOufuVdvkzvBTsqNU/vjlmUlZf+8PP1DFQ1CFNPAcHB4s0KeaNE2WvnuElvWyG4VVeI3IdJo6YJpa5kOvw22+/VbbRFp+N4cXwetRtqKQmhfeRv+M4AlK6iKjDJ598En/++adRjMEcT8rwKt8xP3xzRf8zvMprREtpsle/AlvHOmKZy7vvvmsU02F4KdlRF5+LR17ljWHGB18icXgBLFUq9O3XD5cuXVLcBWEU6zOBkzK8yrdFhpe0HjRXRjeczdskw9XVFQsWLDDK5toML4aXcUdexfrTQvK6TbyF65D3OlSOagwv6c6aR16PajT5yCUk5k+BpaUKvXr1wv3795VrtMVnYngxvEwCXmKvw7adYG9vj8WLF+O3335T3BjM8YQMr0c75odHXwyvRzWiqMOslS+JhdLh4eEg1yEHbOgZJtTwSvY25GhDk4s2VHcUFHWYkDsJVja26N+/v3AdmiNMlL5mhtejHbO6TaqfGV4VazT8taNo3qatyLBMy1z++ecfRZsvj7z0DEt1g6/qmee8HjUG6iBoN4X6zXxBd3LvvPOO4sagqOWZyMkYXo+2xYdtl+FVsUa0mDyB9jq0tsagQYPwyy+/KNqqGV4ML5NwG9IkMK0fCUjpLKIOn3rqKfz666+KGoM5nozhVXHHXBZgDK+KNZp94S4yVmyFg0s9pKSk4sKFC4qaEMOL4WUa8Lr4ADM/+ArxOROgsrbBwIEDOepQga6A4VVxx8zwktaFbjjzXj0C77hUNGnaFOvXr1d03ovhxfAyGXhRh9Fz8XNiwTIlvCPXodKTwArwwqROwfCS7qR55FW5RiLqcHgBrG1sMGzYMEXTpDC8GF4mBS/a69AvOR1OTk549tlnea9DA6OO4VV5x6wefTG8KteIog4zlm6BvXM9xMbG4vCRI4rdcDK8GF4mBS+KOowbOg42dvaYMmUK7t69a+Du27yLZ3hV3jHXdHgRlB/ZmFdGZvfclw+JqMMGDRrg6aefxt9//62IUTG8GF4mBS8yKMoxVL+ZH1JSUnD69GlFDMFcT8Lwqt7w6v7EOpFChiL/tD0mHb6EiQc+RbM2bZGQOxmUKZle07ac/F2nEJmdK/Y6pLlqalNKPBheDC+TgldR1OEp+CV1RJ06dbBu3TqOOjRgT8DwqsbwikpEUIdeSMifJvOYivi8AtRt4iN2iU8YPhUJ+XRoVx6V4ZvYQWzvFhYWhj179hiwxZYWzfBieJkWvIqjDmMHj4G1rR1HHZbaqkH+YnhVX3g1jUpEo5BIsak1bWwt5/Bv2wmOrg3g5h0olqnIKYO+Q8l+XRo1Ra1atTBr1ixF5qoZXgwvk4MXzTV0m7daGEOLFi3E1jNKr943CClMsFCGV/WFV1Em5e06ZVKeXS6TMmWIlpMl+h4mHvwUMYNGw8LCQuyQ89VXXxm8tTO8GF4mCa/slS+hYUAIbO3ssHLlSvz0008GNwZzPAHDq3rDS++ZlGUEbFD25emnbyFl7Bw89thjiIqKUmSvQ4YXw8s04bXqJTQMDIGlpaVwHXKGZcOgleHF8PLRMpOyOgqz7PP09/+L1PGPC3jVr18fS5YswR9//GGYRltcKsOL4WWi8HoZHi1bw1JlhcDAQBw4cECx9SMGtTgTK5zhxfDSK7wsLKBSWYkbzlu3bhm0tTO8GF4mCy/fxDTYO9WFjY0N1qxZg59//tmgxmCOhTO8GF76g9dc2NSqLWw2IiICe/fuNahJMbwYXiYLr/CMIfAMjoCNQy0MHjwYX3zxBY++9NwdMLwYXvqEl6tPEBq1ioaLi4twHf755596brGlxTG8GF4mC6+ovsMRnjkM9Zv7ISAgAAcPHuQ0KaW2q5e/GF4ML33CyzepI8IzhsHSyhqDBg/GzZs39dJOKyqE4cXwMml4dXl8FXzj24s0KatXr8aPP/5YUTvm12QqwPBieOkNXhPmIqRLFjpOX4I6DTwRGRmJffv2GcxbwvBieJk0vAZsfBNtBo2GnWMd9OvXjzMsy4RUZV9jeDG89AeveWjVNRv9N7wOn/j2qFu3HpYuXYrff/+9suan0+sML4aX6cKr33AMfv5t9Fr8nHAdent749ChQwa7k9PJkqrplxleDC99w2v0vz5E7NDxsLKxFXPV169fN4h1MLwYXiYOr70Ys+ccvGNTYG1tDXYd6rcfYHgxvPQNr8lHv0D3J9bDyaMxKOqQXIeGeDC8GF4mDa8hL+zFrHN3EN0/Hza1HNG3b1/QgmVOUqmf7oDhxfDSN7wKjl1B7ksHhevQ2dkZy5YtM8iCZYYXw8vk4UUr+Xsu2igyLDdr3hyHDx/mqEP9sEukrygoKBA7gscMGIlZ526j7M4Jxvi74MhlxA0Zh5iBo0BbDxmjDmXPyckopQEvdtiYUDTnNeXYVUw5fhVthoyFpZUVhgwdCnId6vuGk+HF8KoW8Brzrw/RPCZZLFgm1+H333+vp+7bvIvhkZd0x8zwktaoHLyOXxWbBXdfsBZODRuLqMN3332X4VX2jkiTv6nh9V6yGd5xqRi955zR7+KozlNPXIO7fwj6LH0RlL9Kk+sw5GdoJ2laTxU3bAKmHLti9PrQtWavehlR/YaD3Ib0v9p1aFe7DrKzs8WCZfPGjn6unuEl3TEzvKQ1ehheZLM5wnXYDs4uLlixYgV+++03/TTa4lJ45MUjr2ox8qIOpOfi54Tr0MvLCydPntSrIZhrYQwv6Y6Z4SWtUUXwItchpUmxsrXFsGHDcO3aNb2amcHgRcPFVt36Ij53knGPnIkiyZpL42YIzxiK+NyJxq1P7iTEDBqFWvXcEZDa1STqE58zEQ2CQtG4VbSYZzAFjYLSeoiNeUO790NS/lQk5U9BaPf+qO3WEFZWVnjuued4r0M9dAUl8LJUwTM4HHFDxxvdPqIHjESjVlFiazD9tEWyeZlHzkTE5UyAd1w7UB/SZvBokL3ILk9uPcp+L2ciwnoNgrNnEwS27ya/LnRtw8YXZVKOTEB8zgR515YzEW0GjwElx3TzbQH6/UgjKrtpVIIImaeow/379+uhxZYWYRB4+fj6wsnDC6E9ByAxf6pRj4ThUxDYrhtcGjdHRHYuEvOnGLU+pEfskHECXoHtu5tAfaaANPJoEQavsBjEDhlrEnVq0aEnGgaFonWvQSLVAqVbSBk7W6Qrp70OMzMzceXKFb370UtNwzz+KoWXpcjKG5832ej2QR1h49BoNGoVaRJtkfoMn4Q0uHg1F651U+hDyM3v7NkUZCfy+9iivpBgQ32SLtcVlzMRzWKS4e7XUgRqFJU1BRFZuXD1DkCdOnWwfv16vWZYNgi8fH19hSFkrXoZE977yKjH+Hf/g04zl6JJRLxY8Grs+tD5R75+GvW9A9Bp9gqMf+8/RtWH6kMaBXfJQmRWDkbsOmn0+lCdujy+Ei069kKfp1/ApIOflhz0el2v5vD0bIRTp05x1KGOjC2Fl0rcKIzde8Hov3/+juOIyByGsN6DjF4XtX20HTtH9CGjd581CZsd+NxuNA5rg65zV+ms0fh9/xZ9AF2r3IN0odEWjQRH7DpVUg7FGRBoVdbWyM/P1+tehwaDF8Fi2Lb9Rp/8LxewsZsCNowfIGHyARsmEESSuWIbQnv0x8Bn3yzXhsa9U4imEXFiwfK6devwww8/6Nh9m/fXS+ClUsEkQ+VNoC2WzHnFpmL6+7dMIshq5Bun0Sw6GTplUtbjfH/RnNdcsT0UzXWVBJgV3ke3eavh7OGFmJgYscxFXyHzBoVXznYTgxdHG5Y2qjIN1xSjDUvh9Va5Os/68A4i++bBrrYTsrKyxPoR88aPbldv8vAygZvNEnjFMbxKoFSm/6DXKgrYUH+Wog5phxwnZ2fhOtTXXocMr4d+BLXghnw2+ZGXETR5WO/K4EUdSa+nNqGulzc8PDxw5swZnvfSgV8ML+lIOoaXtEZVwWvayRuI6jdCBG7k5eXpLeqQ4WWEjprhJW0MlcGLIEdzdBRcolKpsH7DBk6TwvAqNzp/+EZI1/8ZXtL2WhW85ly4J+bmXBo1RXh4uMjLp0OTLfkqw4vhZZLrvKqC1+zzdxGZnQdbxzrCdUgJ7/TlRy+xDDP5g0de0h0zw0tao6rgRRsx5L5yWLgOHRwcQHPV+nAdMrwYXtUOXhR00+upzajbuBkaNGyIc+fOcdShTNgyvKQ7ZoaXtEZVwqt4Towyo1PUYW5urnAd6nrDyfBieFVDeD3AxAOfoHFoFKysrLGBXYcy0QXemFcD+2d46Q4vuuGksH5yHYaFheklLx/DS4PGq6vP/OHv85yXtDFU5TYkPYtch7ki6jAjIwO3bt2S3YGb8xd55CXdFhle0hpJjbzIZsl12LxNW5DrkBYs//rrrzqZHsOL4VUtR17kR6eNjV0aNYOrqysKCwt53ktGV8Dwku6YGV7SGmkCrxlnvkRk9nBY2dqJvQ5phxxdHgwvhlf1hNfFB6C8T7QfH0UdPvvss/jpp590sQWz/C7DS7pjZnhJa6QJvEhHWrBMO+QEBweLBcu6GB3Di+FVbeFFIbgUdWjnWAd9+vTBV199xaMvLXsDhpd0x8zwktZIE3jRvNfwHcfh3SZF5OWjG05d0qQwvBhe1RZeZAwZy1+Ei2cT1K1XD//5z3846pDhpfc1XwwvfcHrAWaevS0261XZ2CInNxdXr16VfcPJ8Dr6UQoAACAASURBVGJ4VWN4PRDJM2lHfJXKSqwfYdehdvTikZd0x8zwktZIs5FXUTldyXXYuJlwHR49epTh9XBEn/p/anicSbnqxled9jZU/67qZ3IdUsZlyrDcrVs3fP3119r13mb+aYZX1bZB7YzhJa2RNvDK33ECzWOSYWNji02bNsmOOuSRF4+8qvXIi6IOM5ZvBSU/dXR0xMcffyz7Ts4cOcbwku6YGV7SGhXBq4Jd5SvoX2edu43WfYaIvQ5zcnKE61CO7TG8KhBXfVdvqGde5yVtDFLrvMr+NlNPXoe7fzAsLS2xZs0ajjrUoidgeEm3RYaXtEYCXuPnIqRLFgqOfiHWYdJazAqPD79B5znPiAXLQUFBOH78uBYttvSjDC+GV/UeeRW7dSKycmBbqzY6de6MO3fu8Oir1Mar/IvhJd0xM7ykNZp68gaSR82AhaUlLK2soLKyrvKwVKlgYWEhjs2bN8uKOmR4MbyqPbyE63DFNtRx9xSr9z/99FOOOqwSWaVvMrykO2aGl7RG6pEXZT8f+/YFEUg15diVSp8Ljn2B4C7ZUFnbYPTo0WKHHG33OmR4MbyqP7wuPsC007fg5hsEuqNbvXo1fv7559Iemv+qVAGGl3THzPCS1kibgA21y1/sddi4GVq0aIFTp05p7S1heDG8agS8qIOJzM4VrsP09HTcu3ev0g6b3yhVgOEl3TEzvKQ1kgOv/F0n0CQiDlZWVnjxxRe1jjpkeDG8agS8yHWYtepl1HZtAHt7e1y6dEnrO7nSLt18/mJ4SXfMDC9pjeTAi4I5QnsOgLWdvUiTcuPGDa0Mj+HF8KoZ8KKcQadvwdU7QEQdkutQ112rtbKkavphhpd0x8zwktZIDrxI17KuwzNnzmh1w8nwYnjVGHjR6CsiKxc2DrWQnt4J3377rVbGUE35o1O1GV7SHTPDS1ojOfCi7d1GvH4aXuGxsLRUYfv27VpFHTK8GF41Cl5Zq16BY303EXV4+fJljjqUQBvDS7pjZnhJayQPXg8w+8JdtOreT6RJyc3N0yrqkOHF8Ko58Lp4H9NO3YSrt7/Y65AWLOuya7VEv18j3mZ4SXfMDC9pjeTCiyIPu8xdCZdGTRAYGIizZ89qfMPJ8GJ41SB4Fe1DR2lSyHWYlpaG77//vkZAxlAXwfCS7pgZXtIa6QKvEa+fQuOwGFhZWWPbtm345ZdfNGruDC+GV42CF8179V3zGhxc6sHOzg6UrVXbxY8aWU4N+RDDS7pjZnhJa6QLvCjqMKRbX1jbO4D2Orx165ZG1sXwYnjVLHiJqMObqN/cr2TB8h9//KGRMZjjhxhe0h0zw0taI13gRfp2mbcKzp5N4Ofnh3Pnzml0w8nwYnjVOHiRMUT1HS7u5Nq3by826uXRV8VoZnhJd8wML2mNdIEXRR2OeusDNAqNEjecW7Zs0WiHHIYXw6vGwYtch/3X74KDc12xYJlch//880/FvbeZv8rwku6YGV7SGukGrwegvHytyHVo54DevXvj+vXrkqMvhhfDq0bCa/r7tGC5KOqQFiz/9ddfZo6pii+f4SXdMTO8pDXSFV40+uo2fw2cPbxQt249HDt2TNJmGV4Mr5oHr+I0KdEDRsLa1g4pKSkcMl8xu8Dwku6YGV7SGukOrwcYtfsDNAqJhKXKCk8++SS+++67Slpt0csGhFcchm3bL1Jo049vtOPCPfReshnesakYtfus6KiNVpdiHaYcvwo3/2D0eXqLGC4buz40ZG+dMRRxQ8eLFAZzCu8Z7/cq1ihz+VaE9uiPARvflFeXC/cw8LndsHWsLaIOr127JumGqNJSauibJfCyVCFmwEjMOvu1PL31aOOTj1xC7JBxoJsPU2iLZB/pM5eheWyq2ILMFOpEO1M0i04GJW01ev9ReF/okkrJKLtmo+DYFVl1mn3+G7Tq1k8sc+nQoYNwHVZldnqH1/PPPw8fHx+4+gSi3YR5QlwS2JhHm0Fj0CAgBOkzlhq1HmoNei7aCCePJsJA1a8Z93mrgHtgahf0XLjBJDQikDaLTkLyyOmy69Nr8XOwqeUoEt7Rndzff/9dlS2Y5XuUuHPy5MliP0j/pI7IWLpFtt76asM9nliHgJQu8EvqaPS6qK+pdZ8haOAfgt5PbTKJOnWc9hTc/FoibtgEk6gP6UJZlJtGxqPHIpl9CN2wdu8H+zrOaNy4sYg6rGquWu/wov2pAgICirJkUlZNEzgou6fI8GkCdVHrYWp1Mkl9LHRvP5StlTSPjo4WEUwcdVie0ffv38eMGTOgosy2bB9V9lesj7Q96tqvie9bWIg0KW+//TaqWuaiV3iRWZw/fx5Tp05Fnz59+GANTKYNzJkzR9KHXr5bN4//fv/9d+zevRtZWVkm81tx38F9Z3Z2Nj755JMqo4T1Di+6syVa0hYffLAGptAGKDUKuwwrhzFpQ3tAmsJvxXXgPoPaAN1USXlJ9A6vyk2E32EFWAFWgBVgBfSjAMNLPzpyKawAK8AKsAIKKsDwUlBsPhUrwAqwAqyAfhRgeOlHRy6FFWAFWAFWQEEFGF4Kis2nYgVYAVaAFdCPAgwv/ejIpbACrAArwAooqADDS0Gx+VSsACvACrAC+lGA4aUfHbkUVoAVYAVYAQUVYHgpKDafihVgBVgBVkA/CjC89KMjl8IKsAKsACugoAIMLwXF5lOxAqwAK8AK6EcBhpd+dORSWAFWgBVgBRRUgOGloNh8KlaAFWAFWAH9KMDw0o+OXAorwAqwAqyAggowvBQUm0/FCrACrAAroB8FGF760ZFLYQVYAVaAFVBQAYaXgmLzqVgBVoAVYAX0owDDSz86cimsACvACrACCirA8FJQbD4VK8AKsAKsgH4UYHjpR0cuhRVgBVgBVkBBBRheCorNp2IFWAFWgBXQjwIML/3oyKWwAqwAK8AKKKgAw0tBsflUrAArwAqwAvpRgOGlHx25FFaAFWAFWAEFFWB4KSg2n4oVYAVYAVZAPwowvPSjI5fCCrACrAAroKACDC8FxeZTsQKsACvACuhHAYaXfnTkUlgBVoAVYAUUVIDhpaDYfCpWgBVgBVgB/SjA8NKPjlwKK8AKsAKsgIIKMLwUFJtPxQqwAqwAK6AfBRhe+tGRS2EFWAFWgBVQUAGGl4Ji86lYAVaAFWAF9KMAw0s/OnIprAArwAqwAgoqwPBSUGw+FSvACrACrIB+FGB46UdHLoUVYAVYAVZAQQUYXgqKzadiBVgBVoAV0I8CDC/96MilsAKsACvACiioAMNLQbH5VKwAK8AKsAL6UYDhpR8duRRWgBVgBVgBBRVgeCkoNp+KFWAFWAFWQD8KMLz0oyOXwgqwAqwAK6CgAgwvBcXmU7ECrAArwAroRwGGl3505FJYAVaAFWAFFFSA4aWg2HwqVoAVYAVYAf0owPDSj45cCivACrACrICCCjC8FBSbT8UKsAKsACugHwUYXvrRkUthBVgBVoAVUFABhpeCYvOpWAFWgBVgBfSjAMNLPzpyKawAK8AKsAIKKsDwUlBsPhUrwAqwAqyAfhRgeOlHRy6FFWAFWAFWQEEFGF4Kis2nYgVYAVaAFdCPAgwv/ejIpbACrAArwAooqADDS0Gx+VSsACvACrAC+lGA4aUfHbkUVoAVYAVYAQUVYHgpKDafihVgBVgBVkA/CjC89KMjl8IKsAKsACugoAIMLwXF5lOxAqwAK8AK6EcBhpd+dORSWAFWgBVgBRRUgOGloNh8KlaAFWAFWAH9KMDw0o+OXAorwAqwAqyAggowvBQUm0/FCrACrAAroB8FGF760ZFLYQVYAVaAFVBQAYaXgmLzqVgBVoAVYAX0owDDSz86cimsACvACrACCirA8FJQbD4VK8AKsAKsgH4UYHjpR0cuhRVgBVgBVkBBBfQOr7/++gsff/wx9u/fjwMHDuDgwYN8mLEGFy9exN9//61gk+ZTaasA/T6//fYbfvnlFz7MVIM///wT//vf/7RtOkb9vF7hRRd/9uxZDB48GGFhYeJo3bo1+DA/DdS/f0ZGBk6dOlXtDMOoVqngyX///Xe89dZb6NWrF7p168aHGWrQvXt3jB49Gn/88Ue1stNH4EUAojsxugv74YcfxPHrr7+K16TITO+TIYSGhuKxxx6DytoaVnb2xj9s7aGytoGFpQoqG1vj14c0sbUrqpOFZXGd7EygXkV1Uqms4ODggFq1asHR0fGRg14ve9jb20OlUonf/DELiyKdSW+VCg0aNMCiRYvwzz//KNgl1/xTkY2SXZY9CESks5SdllXn/v37mDFjhvj9LOi3E7+fJSwstTwsLGEhjuIy5JZD57WwgGhHoj5a1qNsvR8uh+pX9n1N/n74mvRdJ03q8PBniutUotHD72v6v/raLC1Rr1497Nu3T6u2U7YdGePvcvAil9/nn3+OadOmIS0tDe3atRNHenq6aOD0XlUPMpo333wTrVq1gqW1DeJyJqL/ul0mcOxE7OCxaBAQgvSZS9F/3U4j12knsle9gjaDxqBW3froNHu5SdSJdGk7ZhYCglth165dVbp9ySX8r7ffxsrVq5GUnAxrGxvY1XaCV0Q8Os54Gj0XbYR/286wtbUF3dl99dVXVTUdfk8LBcjOPvzwQ2Gj7du3F89kr2Snw4cPx7Fjx0Ag0+Rx584dTJ48GZaWKvgldUTvJZuRsfxF7Y9lL6Lz7OVwatgYbcfMRp+lL2hfRvF5u81fg4CUzqI+Gctk1EVd/6Vb4N+2E3wTO6Dr4yshqyw6/7ItCOs9RPQfPZ98VvwvS6PlLyJl7Gx4tGyNhLzJ8upD17bsRXSY+iTc/Foibuh42TrTdfV5+nk4eXjBzs4OCxcurJ7wIp83dUhJSUlo06YN5s2bh3feeUd0YgUFBWJYqQ28VLZ26LVkMx4vvG/0Y86Fe+ixcD2axSQj77VjRq8PaTLzg6/RbcFaODXwRP6uE5hjCjoV3kffdTsRlZCEe/fulWvI1GHS8dvvv+Pqtet4etkydO3WHfFtU9EquQM6FCzCwGffRP7OE5h26iamnbqBzrNXwFKlQnBwMPbu3atJX8qf0UAB+h3ee+890eHMmTMHzz//PNavX4+pU6ciLi4O0dHRmDBhAr799ttyv2FFRX/zzTcg+6bfKbr/CMw48yVmn/9G1jH27fNw8wnE4Of3YubZr2WVQeeedOgzcbMZPWAkZn8ory5UzqwP76DN4DGI6jsc49/7SHZ9Zn94Bx1nLEXz2BRMPXldpzoNeWEvfJM6IXv1q/Lrc/4b5O86iabRSchYvlV+OR9+I34nuuG0srJCSkpKtZqfFiMvcjVQkEVycjJSU1Nx+vRp0XmRa4L8oLdv38b169fFpG5FBqB+jYxKPfIqgdfFB3jcyAeBoQReO44bvT6kBxl3twXr4NSgkWiIAvJG1onq8DC86Df99dff8N8vv8KCBU8gOSUFsckpCE1NF3faQ1/cJ4A19cR10E2C+jpmX7gLMlRnzybCJTFr1izJjlTdjvi5agXU8KpduzZOnDiBn3/+GT/++CNoFHXhwgUBMh8fH0yZMgU0EV/Voyy8YgaMxKxzt2Xbx7h9/4abbxCGbtmH2efvyi6n4MhlxA0Zh5iBo0rak5w+ZE7hPcQOGYeo/iMw8cCnsutD/Uf6rOXwjk3F9Pdv6VSnoS++C9/kzui7dqfs+pAWI984jWbRych6Zrv8cgrvC/ARlMlV6+bmJjhA7as6PAS8/u///g/Lli1DixYtsGfPHtn0ZXhpDmpThBcZad+1OxDeJh7Xrt9A4b//jSnTpqFtaqoYYUV2y0L3J9ZCAGvXSUw9eaNywym8D7oTb5HeR9zVde3aVdwEVQejMPU6loUXBUiV7WzoRpQgNnPmTDHiPX78eJWXY/Lwuni/8jYmcbOnd3jF1Wx40Tw3caBse6qy8Rj5TQEvGlV16dIFnTp1EndxcuvE8Kq+8CJDn3bqOrrMXQUX94YIaRWKVhFRCIxPQefZyzD8lcMY8/Z5zDjz31IXp0TnMe3kDXSYulhM5FMQD7m6qothyLUBJb5HGpKWNPJ6GF50fvKYkPfE19dXBMtUpTnDS9pmS0ZeNRVecSkgTxm5DhMTEzUKzlOinUudQ8Drs88+Q2RkJMaOHatT58LwkjYEtfvDqCOvwvsCQDQvMOXENQx+4R0Ed82GR3A46jXzhZV9LRHYkvfKYYzefVbMX6ndger6a/JMbsRBm/bAybMJXN3cMHfuXNmjeqmGbE7vS8GLtLh06RJiY2ORl5dXpU0zvKRttqbDyzu+PXwSOogo4YYNG6KwsLDKNmMqtibg9dFHHyEwMFBEFFZ1lyZVaYaXtCGoO31jwYuAMuXYFWStehmBHXrB3b8l3P2DEdKtHzJXbEP6zGWo09ALw3ccL5q3oEASiRFWVe8T/ILSesDa2ho9evRg16GUEWnwvibwunLlipi/7tevX5UdEcNL2mZrOrx8EtNEgEz95gFiNL948eIq24wGTVSRjwh4ffLJJwgJCcH48eN1qjTDS9oQ1B29IvAqHmHNuXAXU45fxZAt7yA8MwcNglrB1TsAzePbo+v8dRix6yQmHvwUMz/4Ssx5OTduLiaERQCGDuCia6Wow47Tl4g1f+Q6pAhWfuimgCbwoshgihqm0Hn6fGUPhpe0zdZ8eHVAUv5UUHSnlbU1EhISqoWHRMDr6tWrYj0XzXuRv1zug+ElbQhKwYuivQqOXkH2mtcQmNYD9Zv7iTDmoPTeyFz5Msb860MBLAqNpvkucguSkVIUlD7hRQCkqEM33xZwcnIS4dy8YFmuhRV9TwpepO/777+Ppk2bYunSpQwvfUUb1tA5L5/EDmg7ehYGv7BXLOL29PQUUatV3fTo1oL1820BL1rTQ9FJFG145MiRKht7VadleBkXXgShgmNfIGvlSwhM6466TX1Qr7k/gtL7IPOZl0T03+QjlzDz7O2Kw30NAK/HL97HuHcKEdZ7MCwtLUVg0I0bN6pqRvyehAJVwYveo9EUbffTsmVLMX9RVXE88pK2WXMYeaWOnQNaolDfOxB1nJzw5JNPyuZAVe1Nn+8JeNFo68yZM/D29gat2L98+XK5bWbIINRHVSenz/A6L2ljoNGXIdyG49/9D8IzhsLZwwv+KV3QZ/lW0GtTT1zDrHN3iqIEq3IDGgReD4Q7suvcVeKujjrU119/3eQNo6p2buz3yM4ejjak18iOb968iUmTJsHLywsLFiyo/uu8OFS+wjlnfa7z8knqAIIXrWEj1yHtlkNrfmnHJWpXpvoQ8KIK0l6GtCVQo0aN0KRJE2RmZmL16tVYvnw5+vfvjzFjxkhu8UPlMLyMB69ZZ78WizKDu2Qh79WjRQtOtQm4MBC8aPQ1+Pm34Up3dXWcxPZjurinTdWYlKoX2RnBi7beys7OFlHCtBl2REQE3N3dQQuU6c6ZbFqq8+GRl7S91viRVzG8aEeSQZv/BUuVlbj5oQXvUu1HqTZf0XkEvOgNqiStxqdRF20zQ3fItE7Ez89PbBm1ceNGyTVgVAbDS9oYDDXyIiPrsXADWqb3Qf8Nr0uPtB4ehRkMXg/EHFtIt75iGyLa65BdhxWZo2avkZ3RzhoBAQHC1U/bb9GWUASy7du348GDBxrvbcjwkrZXc4EXzU9POvQ5XH2D4OzsYvKuwxJ4qc2GJntpU0/acuann34SB93BaZLvheElbQgGDdgovC9C3P1TuyKtYKFw16nPp9GzAeE1/f3/otPMZWInfYpspZscfshXgEauZKPqg2yU9ifV1tXD8JK2WbOBl9io4KbYD5KWttA+t6bsIXkEXvLNqWj0xiMvaWMw1MhLXW7MoNFo1WMARr31QYX+8kpBZkB4UQdAC5Zp7zuKOqS9Dqmj5YdxFWB4Sdur+cCraK9DcvFTehuaPqLsBTQoMcUHw+th15lC/xsiYEMNpR6LNiCoQ08M2PiGycCL5r3G7r2AsF6DxCagtGCZtiUzVcMwRWM1RJ0qhhctTNfiKM6IMO6di3DzUW/M+412ZZQ5X9mNeQkcWtWlTDnkBosdMrZ4Y95PiiNstSyveAlJ+szijXlP3yp2x2tZTnG9Sjfm3SGvPlRO4f2SjXkzV9DGvPLqQtrSrv0UKk8BGxStTK/Rmk9yHdatW1dyezFDtElNy2R4KQQrNVjUz4aE14jXT8MvuRPSpz8t0kKozyn5bMCRF52btqOinfRVtrZiLnXr1q0ML00t1UCfK4GXpQqRWbkoOPoFaE9K7Y/rGPH6Kbh6+6P/hjfEonjtyyg6L93k0A73kdm5IgWJ3HIoyja6fz7CM4dhFG1zdvK6rOuijAntCxaJXdypY6e0KHLrNGDDG/BJSEOfZS/KrA9pdB052w+iSUQCeix6FlOOX5N1FBy/islHLotUL8kjZ4Bc+9PP/BeTDn6KqH7Dxa44iUlJIrOIgZqfTsUyvGogvCgsnhKBRvUfKTbTLbozk3aP0B2dvhcpPwxM2uXDMyQClH2Zck5RJmB+GE+BEnipVGI+0sbeATYOjrIOa3sHWFpZiSzhNg61ZJVB56ZyKPM5HbqUY2Nfq6gcG1vQ33Kvi+pQlPncWtRNlzpZ29mX0UiezkIjKkdVVmu6Pu2PIq2ti38zR9jWKqqTqKfKSix0p+SmpughYXjVQHjR0L/3088jpGs2Bj77luZRhwrAi3I+RWTliMy9lMWA9tXkh/EUKAsvai+0xIISHco5+q1/HXWbeIuIV9obU04Z9B3a6SG05wCxWbTcMsT3dp5AaI/+CO6ciYHP7ZZdn/ydJxGfV4BGYTFixKNLnXos2ogmkQliD1Fdysl4Zjs8WoYjZdxcDNn6nrzjxfcw6IV30Cg0BvE5EzHhwMeYePATTDj4CXJfPSzmp+vVqw9T3euQ4VUD4UUjrdF7zoltodKmPInpp29pNvelALyE63DeatCdHS3DINchP4ynQFl4lSaj1HIOhee8NJ530uecV9PIBGQu31Y0d1b8G4jsDxr+/eicV2nWe3K5UiJPijqkBMUUgW5qD4ZXjYTXAzHaohToob0HC3//w+67Cv9XAF5kXLQQ0jM4XKSxp2y/pmgYpmaohqpPxfDSwMVcgd1wJmVp3UrhpXsm5aaRiSITRIW2XMHv88jnijMplwZs0E1L0TVQIAd5bSytrMVNZkV54wzVJjUtl+GlyY9sgM8YMmBD3QAp6tAvqSP6r9upmetQCXhR1OE7hWjdZ4iIOqQMy5TVwBR96poaUXX+nMnDS0TSSUNB3ebLPlP0HI0eomroxrx6g1fxDhs0Eiur3/h9F9EgsBVcXV1F1KGpbajN8DIAmMo2gMr+VgJeFGFF8EqbsgjTT98s1zArrJci8Hogtq3qPHs5bGo5ijxyr7zyithLszpDoLrWneElDUbq1NNnLYe3ie0qb2h4URqluGETYGNri44dO5pccBXDqwbDa9a526LxUQ4vsWD5oTurRwCmELzovDQp3zgsBo6OjmKvwx9++KG69v/Vut4ML4aXemPeh0detNchuQ6t7RzEVmSnTp0yKQ8Jw6sGw4saY8byrfBP7YL+63dBMrmkgvCitSRtBo2BysoanTt3FvmDqjUFqmnlGV4Mr8rgRfPTtOauUaso4TqkLAWm5N5neNVgeNEIhxZVBrTrig7TnsI0KdehgvCiqMPuT6yDY313sQ3N5s2bTcowqimLtK42w4vhVSm8Lj7AlGNXkJA7GdbWNsJ1SPvdmsqD4VXD4UWjrfjcSShxHVZ1vQrCi+7qhr64D82iEqFSqcSC5e+//95U7MJs6sHwYnhVBS+KOqRt5mgxc1BQkMhmYCqjL4ZXVZ25Ad9TImBDPadFmZUD2nUTaVJmX7hbeeCGkvC6+ACTDn4mkt9ZWFqiQ4cO+OCDD3j0pTA2GV4Mr6rgRX3ImH+dQ6PQaLi5uWH+/PkmE1zF8DIgoNTwqOhZSXjRynn/tp3RbuICsedcRfURrykML5qT6zpvNeyd6wnX4fPPP2/SKRgU5ooip2N4Mbyk4EX7XSYML4CNjS1oVxxT8ZAwvMwAXuQ6bDNkLFp2zsSIXaeKd7OuwGgVhhcBk9IveLWOhY2NDSZPnozvvvtOkU6bT1KkAMOrAjt4qE8w11B59U0uRR32X/86bB3riOSnhw8fNgnzYXg91FDVP5ihn5UcedH8UuYz29EsJhl9V78q0iBUeH1GgNfEA5+IHaxVNjZIS0vDmTNnTMIwzKUSDC+Gl9TIi/qP0bs/gFd4rIg6nDdvnkm49xle5gCviw8w/r2P4JecjtTx81Bw9ErF815GgBdNCJPrsI67Jzw9PfHcc89xkkoFycnwYnhJwuviA5EqJ2H4FLHXYZcuXUzCQ8LwMjq8PMVu13R3U+FoSE/1m33+LhJHTENI934ikV2F5zICvMilOXjzv9A0Mh5WVlYYN24c7ty5o2D3bd6nMnl46WAXvD2UBJjVextWsj1U2T6CbjL7rdspXIfBISE4dOiQ0UdfBoVXz8XPYc6Fu0Y/xJqiBWvRLDoJua8eBXXkxqwXnX/GmS/Rdf4a1GngCUofYeg6UfmUFsI7vj36rd8ptmgqqwG9T0f2mtfg3Li5AJzkomaZYKU5BNr9Y9Khz0H5vdoXLESj0Cg89thjSEhIwJEjR4xuGOaCNP3C66JIozF0yz7Rlsp2ftr8XTaTsi43ddR+y+9tKO8GsWTOKzYV09+/VfmcsQb2UH5jXnn1IS1HvnEaYlf5Fdvk3/Sq4VWSSZnqU3mdRr7xvnAdurm7m0TUocHgZWltLTKh0uawRj8WbkB4xlC4+gSi7ZhZIt+QUeu0cAO6zV+D1r0Hw965LlLGzjF8nRZuQMfpS4QG4RlD0G3e6vLnXLhB/N9m8Fg4unmIrLh6hVcZYA3b+p5YoEwRTN7x7eAe2AoNg0Lh4FxXhOOuX78ef/75p7nww6jXWRZeERlDQXOQBA85W8GggQAAIABJREFUB+UCq9/cH33XvIZJhz6TVQadl7Yyi+o7HOEZw0SmXzl1oe9MPnwJkdl5aN17iAhUoqzBcsqiclInLkDTqESM23dRpzr1XbMDzePao9dTm3UqZ8iWffAKa4PuC9bJuiahz5HLYrlK89i2SMybLPSqSh8CZmTfPBFc1aNHD3z77bdGbbsGg9djFhao06ARXP1aGv/wbYnaDRqJTKouXs2NXx+/lqjvE4Ta7p4i06tLY2+4+rYwfL18g+Dk0Rg2tWrDuVGzR8/p2wJOHk1gW9sZI3adlN5OSuJOk9w2NMIc/+5/xKiv86zlSMgrQGD77mgSGY/gzhliAXXvp19AxoptYuNTWrA8evRofP3110Y1DHM5eQm8LC3h1bqNuJFqN2Ee5ByU0JB2TInIzEHquMdllUHnTcqfKtzIFCAgpx7q76SOn4smEfFiD82EvMk6lDVXbLFWr6kv2o6eqUM580Qi1vregQjtMUCnctoMGg2Xxs0Q0iULdJ1yD7pxphsO34Q0tJ+0AO0nPVHpkTLucbTslCH6rLCwMBw9etSoZmIweFlYWSM8OxfdF200+tFt4QaRgqO+dwCSxsxC90UbjFynDegyf43ItWXv5ILksbMVqBNd8wa0Hfc46jXzQ+uMoegyb3UZHYrejx40Bo7unvLdhoX3MfPsbUzY/wkGb35bjPaiB4xEszZt0bBFGIK7ZCJ59AzhP6etZ9RuoSnHr4FGfVY2tkhMTASlHueH4RUoCy/Plq2Fmy0+ZwLkHAQtB5f6okONGzpeVhl03uj++WgUEgmPlq0RP0xeXUT9h01Ao5AIeLQIQ1TfPNn1oTo0j02Fs2dTEDR0qRPBhrJNB6X1lF+fnAlo3WsQnDy8EJDaBaS1vGMcYgePFRCknW7IE5I4fEoVR4EYEbv7tRDBVcuXLzeqe99g8FLZ2qHXU5tEHinyGRv1uHAXPZ5YJ+a88l47Zty6FGsx84Ov0G3+WjHnlb/zhBjlKKERpTkISO2KhPwpwrVT7pwX7iF77Q6t57yoDLoeGmEN2PgmOkx5EjEDR8OvbWd4hcchrOcAJI+eicxnXsKkw5+Ddvmg75SdB6H/SQ9nDy+4u7uD9jr866+/DN97m/kZSuGlQsyAEaAlHOQulnOM3VsIN59AMY9Ja4PklEHfITcdzVXRTY/cMuh7NIdLnXNUv3xM2P+xDmXdRceZy9C8TYpILaRLncjd55vcCdlrduhQn3vCrd80Okkko9SlPvQ7+SSkIWXM7OI4gKp/+8mHPweNYu3t7dG/f388ePDAaBZkWHgt2VyugyrbWSn5N3WMPRauF+uc8nYcN4k6KbrO6yH3Xtuxc+CbnC4MoNzvoE20YTGwaNfp7FWvCBcIdRKUlbVJVCIiMocJ11HftTuq3tVDXbfC+8h79Qh8EzvA0tJSRB2y69Dw/UIJvFQEr5EikKZcm1D/Pho8GySTchUBBFL1rOnRhs2ik5H1zHb5/Zk6YEODaEO11hR1SNvN2dVxBrkODx48aLTRF8NLA6NU/3D6fDYmvAY/v1fsVZa9+lXMOnentPFLwas46GL8u/9G1qpXxPxIWK9BYv6qcVgbcYdLiS8Hbd6D6aduFt1ZPjTCqkpD2vU+LmeiyB8UHx8vfOqmsgmo4TFinDMwvCTCyS8+EF4CU0xGaQx4kf3m7zwubJ48JJQmxVgZlhleZgivaSdvoGV6bySPmYnJRy5VAS/axPc+ZgiX4L+RuWK7mLCmuQ3arYNcghQVljb5CfRbvwtUblVwknqPRsi0vILm5Cj1+Lp16/DLL78Yp1c3k7MyvBhemixSLmu7Ra7DAljb2KB3796gNmSMB8PLDOFFkOg0axkC03oUhcSrR0di5FU055X78iGM2v0BeizaKHzctNSAfOzk96cUK+nTl6D/hjcw7dSNkjnEsg1c7t8j3zwj5uSsrKyRm5uLq1evGsMuzOacDC+Gl7bwIm9N5optcHCuh9bh4di/f79R7IXhZYbwotEUbdBLI6fs1a8UTdIX3hdh7QQrR7eGaNWjP4K7ZMGzVZT4HE2gd5q5FDThTMEZcuEk9T0KracJYZtajoiIiBAr+Y1iGWZyUoYXw0tbeFGE8PDXjqJZVIJYl2ks1yHDyyzh9UAAqGXH3ojLnSSSQnZ7Yj1ih4yFd2wqrB1qiaCLpBHT0OXxZzDwuT2YevJ6UYSgepRmIN1oVEhRqq7N/eHk5ARasPzrr7+aCUqUv0yGF8NLa3hdfAB11CF5SDIyMoziOmR4GagTlhphGDNgo6hu99Fh2lMicMM3MU2MrnyTOor1J/bO9dF76RYxEpO6Dv2/fx+0DY1/cjosLCyQn5+PGzduGC2iSXmcKHtGhhfDSw68KOowY9mLIhdfREQkDhw4oLiNMrzMFl4PxJ6K7v4t4Z/SBV3nrkLO9gMCWrT7Bm0FQ+tH9A8n6c6CXIfkprS2r4WYmBixYJmjDg0DNYaXdHskbwBHGz6qEy1tof1iKepw0aJFikcdMrzMGF4EieDOmYjIyhV7nJGR9l27U+tFyoYAXK8lm+HqHQBnFxds3LiRow4Nwy7h7ikoKIAlr/Oq9EaN4fUouMjmaTG5OsNy3759cfv2bQO10oqLZXiZMbzIKLs/sU7s/aYeaZkKvEbvPoeAlC5QqawwfPhwXL9+veIWzK/qpACPvCrumMvekDG8KtZo9od3kLH8RTi6NkB0dLRwHerUGLX8MsPLjOFFBkq7IngGR6D30hfEHJepwIvWliXmTxU7zYeYSP4gLW2rWnyc4VVxx8zwktaFog7JdUhBXg0aNMDSpUsVnfdieJk5vCjXGa3hih4wSrgBTAVedLdL29A0CAiBg4MDVq5ciR9++KFaAKE6VZLhJd1J88irco0ohQpt5ksLlocOHapomhSGl5nDi9Z89X76eTSJTMCot84okoyy7F1tVX9T7iTaNdvCwhKDBg3CF198oeidXXWCkNy6Mrwq75jVbZPhVblGtPlxn6VbRCqcpKQknD59WjEbZXiZPbweiASEHi1ai62Z+izfahIBG9Rx0I7XicMLYF/HBUFBQTh8+LBihiEXBtXtewyvyjtmhpe0NqRR3iuHheuwsZcX1qxZo5iNMrwYXiJ1RFivgWjVvR9osbJz4+ZGDZVXdxr0nLF8G9z9WooUDGvXrsWPP/5Y3fhg0vV9BF6UEkVmCqNx71wUKVGGbtkHWgckt5yCI5cQp06JUnhPdjm01IMW3ouUKAc+0amc9JnLRAc9/fQt0G71cq9t6IvFKVHW7pBdBp17xOunQRvz0jZNcutC10G/k09imthkW6RWkfHbU4ZqSjJra2eHYcOGKbZgmeHF8BKNnzbEdfcPRruJC+Dk2dRk4DX27QtiwTKFcg8ZMgRXrlwxaRhUt8qVwMvSEi6eTeAb3w5+CWlaH5SJl7YLsq1VG41bRcE3vr3WZajP2zwmWSRIFPWRURd1Ob4J7eHSuCmcPZugeXSSyBasfk+bZyrHzTdIJNr0iU2RXQ6dk7SpVc9NJNokzbSpR9nPNgmPhYNLPXgEhcoug85Pv3eteq6o38wPdJ1y6uQTlyp2xLGwtIQ6G4QSdsDwYniJ9S0T9n8k4BXQrjscXT1MBl6zzt1GXM4kUMbpwMBATpOi516hLLw8g8MRS5mLcyfLOiKy84oyKXfti7hhE2WVQeem4KFGraLg0TJcdhlUDrUbysjcsGVrRPbLl19WzmQ0j2sH50ZN0WbwOMTnyNOH6hTStS9cvLwR1KGX/PrkTkbr3kMElAPbd9epHPqdXLyao2lkgk7XRZnZCfD1XV2xZMkSRRYsM7wYXgJeNPFKqU7qeDaBnVNdk4EXheNS7jAaFdra2oJdh/qlVym8VAjvMwQT3vtYRJ3SAlRtDsqQnfvKEXEHT3niJh74VKvvlz0XZRaIzM5D6z5DMenQ57LLmXToM0Rm5yKs92BQtnKqY9nzaPI3fYfqkDJhnghqomzRutSJtGke2w49F2+SVR+qM9Vp8At74dU6Ft0XrNP6mtTXTdcx8cAnaNYmGQm5k8R1ydVo5JvvI6rfcKhUKpFh+datW/ptqBWUxvBieBXtLFB4H/3W7YSja0PY1nY2HXhdfCCMKrBdN7ELRHZ2X1y+fFmxSeEKbKZGvVQCL95hg3fY0GHTbZoLTBk7G4899hgiIyOxb98+g9sow4vhVWy09zHl2BU0bNEadk71TApecy7cRduxs+FYzw1eTZqI1ON///13jYKIsS6G4SUdUUcBEby3YdU6TX//v0gd/7iAV926dYXr0NA2yvBieJXccRIkYgaOgqOb6cx5qSMP+294HQ0DW8HGxgbLli3Dd999Z6z+vkadl+FVdadM7Y/hJa1RWXiR65DWZRradcjwYniVwkvk0tosFhzmvHRQhNCr4WHs54JjX8A/pTMsVVbo06cPLl26VKMgYqyLYXhJd8wML2mN1PCydnCEXW0nREVFCdehIds1w4vhVQIvCo7IXrMDteq6Im3qYpFh2djQUp+fRoXJo2YUhRl7eODIkSOKRDQZ0vhMoWyGl3THzPCS1qgIXnNR39sfniERcHZ2xtNPP21QG2V4MbzKwavv2h0i3Jm2i5p28kbpe0bSSQ0vAmv/9a+jgX+wiGhatWoV73WoB/oxvKQ7ZoaXtEZqePkld0TrjCGwtLTE4MGDcfPmTYMFbjC8jNQpGz+TcgUNUuTz2oHa9d1gW8sRI944JXYTKAGIkbRSn7/g6BfwS04XUYdZWVm4evWqwQxDD1yoFkUwvCqwg4faOcNLWiMBrwlzEdIlCx2mLkZtdw9ERUfj3XffNZiNMrweaqjqjtLQz6YML7/gUCSnpKJjwSLQImFDa6Fp+bR9jYg6rO+Oxo0bi70O//rrr2oBCVOtJMNLumNmeElrpIZXq67Z6LtuJ7xjU+Dk5CTSpBgq6pDhxfAqhVPxyKtlRBTWrV+PFskdMf39WyCXnaaAMfTnhmx5Fw2DQmFlZYXFixcrmoLBVAGkS70YXtIdM8NLWqMieM0DwWvM2+cRO2ScSCRLW7rduHFDlyZa6XcZXgyvUjAJeO1Eq6g2Iv2Ij58fxvzrQxEqbGgoaVo+LYakBctW1jZIS0vjqMNKTVuzNxhe0h0zw0tao7LwIvc+7fxRp4GniDp87733NGuMWn6K4cXwKg+vdTsRFhOLr77+Gvn5I5A+fTEoYaWmcDH058h12H7yE6jt1hCOjo44dOgQDOWW0NKWquXHGV7SHTPDS1qjcvA6dgXDtu0XrkOy0eXLlxsk6pDhxfAqBRONvNbtROs2cbh95w7efvtt+MenYubZr0o/YyS91FCkNA6DXtgLd/+WsLCwEK5DXrAsn5sML+mOmeElrVFZeE05fhVTT1xHm0Fj8JiFBXJycsSC5f/973/yG2oF32R4GakzNtmAjXU7ER4bjzt3vsGvv/6KJk2bY8TrJ43jOiyTW2jaqRvibi4hfypcmniLxcoEr3bt2nGG5QoMW9OXGF7SHTPDS1qjh+FFN5vd5q8RUYcxMTE4cOCA3qMOGV4Mr9JRVfHIKyI2AXfu3BFD/VGjRolEc7RIWD36MfgzQev8XUw7dVPsnh3ZbzicGjWFlX0t1PcOEGk7wnoNEoupa9eujWPHjoGjDjXFVfnPMbykO2aGl7RGFcErZ9sBkcCTog4pw7K+3fsGhVf3hesx48yXxj/e/y+6zl0pctYM237A+PU58yWmnriGznOeQR13D+S8fMgk6kS/VeYz28XIizq1f/75B4cOH0ajFqGYdfa2waIOqXMgOM46dwfkchj64rtIzJ8K94BWsHOuJ9KhRPYdLkBGRkLzXpQSws23BSwtVWIl///93/+V75X5P40UKAev/iMw84OvxLZglCJH24MSh7r5BGLIC3vFEgttv6/+/ORDnyN28FhEDxgh5lvVr2v9/OE3aDN4DKjtjH/vI62vp/R836DjjKVo3iZFLNynOeDS97TTacgL78A3qROy17wmuww6d/6uk2galYSM5Vt1KOcbzDx7Gz4JaUgZM0tkVZZ7XeQZSRn3uFjnRZmVqZwpx6+JvVJpr8O8vDyxYFmjRqnhhwwGL9oaX2VrD+tadUzgqC3qYqGygpWdg0nUx9qB6mQHyj6qEnWqbRL1In1atGyJu3fvimH+77//jpYhIch96aB+4VUMLOosJx78FAM2viHStVOiPnvnevAMjhDJBCkPkwgYoXB9EbJf9DzjzH9FQj9rO3skJSVxhmUNDf7hj5XAy9JSLADvs3QLMldsl3V0nrMSTg0bi04sY9lWWWXQubs/sR4BqV1EfeTWhb6XsXwbAlK6wCexA7rOWyO7PlQWJVt0DwhBr6c261QOdfANKclm3hSdyukwbQnc/FqKpJ86abRsKxoEhQroZMj83en8pEtIl2wxQOi+cKO4NtI/PGOYSCQbEREBfUcdGgxeFpYqNG2TgtaZuSZw5KBpdJLwvwa072ES9QntMxRekQmwcXBEQFpPtM7MMYl6eSd2QEjr8BJ40STr43PnIm7YeJ3hRSOs2R9+Axo9TTr4GQZt/pfImlu3qa/YkqphUJgAVu6rRzHz3O2i3T0qWWNGZXWavRx13D1Log7//PPPh/tm/l9CgbLwovT0DQJboWFQa62PBkFhYiRsbe+Aek390CAwVOsy1Od18w8Wm0OL+gSFyS6H6lCrvrvYD5M6eqqj+hyaPtN36HBq6AVbRyfhDZBTjvp89Zr5wba2k8imLLcc+h65z21r1YZL4+ZaX5O6LlQOaWRX21mEtYv/5WoU2ErYokOxp4TOQeW5+bYEvUbrMmmvwz/++EOiRWr+tsHgRaMKorG4W1bfNRvpmdxMPZ5Yj2bRSch77ZjR60Qd78wPvka3BWtFo8nfdaIoIMJI+qh/I6oX7W0YGZ9YDl6FhReLXIcydtugMskdOP30TYzf92/0W78LsUPHQ3RQrg1EuvfYnAkYum1/0UbAag00mIsc+cb7aBgQAgsLS8yZM4cXLGtu9yWfLIGXrskoC+9j3DsXRSr4oVv26bS8ouDIZcQNGSdcTroskCe7jx0yFlH9R4jMzrLKKg4aSp+5XMzf0DpDatNy533JJe6b3Bl91+6UfzNYeF/k22sWnSzc/HLrQtdBXg0amaaOnVPaB2lge+XPeV/ckKaOnysWKU85drVIn8L7mHb6FmIGjhYBVrm5ubh+/breAjcMC68lm2X/yOXFkZ4wrOrz9CP1WLgezWKSkbfjuEnUyZSjDSPjk8rBi0Y0YWFhGroO74sRE20rNfXkdYzZc0745SOyh4u7RSePxmIUnDR6JobvOI5ZH96pcoRV1e9KhteiY2+Q6zA8PFy4DvUdjlvSy9fQP/QGr4sPMG7fv8vAS36ATzl4XZQPClpWQTs9lMBL6065qN+h/oOTUVbdB1cUsKG23W7z18LZswnIdbh//36Gl1oYTZ4ZXlU3vBINi6MNCV737t0raWQEhPnz5yNu2AQRLFHy+TKdAWlMQKaACwJW9upX0GboeLgHBIOA5RUei4ThU0B5worWjVGnJL9jEnUovI+O05egtmsD2Njair0O2XWoHWUZXtK2wfCS1qgqeOW+dAjecamoVcsRq1evBs2j6+PBI68yHXBFnbKhXjPlkVdUBfC6ePEiGvi1EHAqcr9QhOA9ESU5+fDnwo3R++kXhKunQYsw1GvqC++4dkhWj7DEHJY66ELaGDTVfcTrp+Hu11LsND9z5kx2HWrZKzC8pNsiw0tao6rgJVyHA0bBysZWLFimbBD6eDC8GF6lbtTikVdUQvmRFzU0CpsPax2OzBXbioF1CSN2nUSPhRsQ0q0fXJr4oG5THxEh1mHaU2JzTgqX1RRCcj9HrsOA9t1hZWuP6Ohog20Cqg9jM8UyGF7SHTPDS1qjquBF+tGCZZfGzRAaGipch/qwBYYXw6sUMFXAS+06DO7UBz0XPycmYT1bRYl1Pb6JHZA8ehbyXj0q1vdQY5U1OS7jt6BzkevQsb477O3tcfToUbDrUPOugeEl3TEzvKQ1qgpe1BfkvnJYBLyQja5du1YvrkOGl4wOU+4ooez3TNptWMHIi+D1ySefwMWlrriDCmrfA+0nLcDof51XDFRl9Sv79+g9Z8VCZsreOm3aNNCCZQ7c0AxgDC/pjpnhJa1RlfC6+EBEI0b3y4fK2qbEdairjTK8GF4aj7xojUbnrl3RYdpisV5LyRFWWVg9/De5DoM7Z4LWGIWGheHatWsG2cVaMxxUr08xvKQ7ZoaXtEZS8CKb7Tp3FVwaNRGRywcPHtT5BpPhxfDSCF7UJdO813ObNqFFh54ixF0p1+DDsHrkf7EUYoOIOnSoVQt79uzRi1uiemFIXm0ZXtIdM8NLWiNN4JX78kE0j0lGrVq1sH79erHxt7xWW/QthhfDS2N40TD/2vXr8PTxw/h3/2N0d2EpxO5jwnsfoYF/sFgMOWLECOE61MUwzOW7DC/pjpnhJa2RJvCadvomIrNzxbpMWrCsa9Qhw4vhpTG8qEOnNRpduvcALTw0mZHXxQdiY9+Qbn2F6zAgIEBEHerqUzcHgDG8pDtmhpe0RprAi3TsMnelmDNv1aoVjhw5opOJMbwYXlrBi1KPbHz2Ofgnp4vIwtLRj3QDN+RnyTB6LNoIx3puYh81SqSpz33UdLIyE/4yw0u63TK8pDXSBF50s5v3yhGx0xFFHW7cuFEn1yHDi+GlFbxo3uvy5cvw8g3AqLc+KP2ukXQsC0RyZbr6BIKiDikP2ffff6/zpLAJc0cvVWN4SXfMDC9pjTSCV3HUYURWDqxsbZGblyeCq+R6SBheRup0q1uovLqnpIb2yy+/oGdGJjpOW6LTJqVlwaOPv2nHj+DOWcKnHhgYKFyHBFt+VK4Aw0u6Y2Z4SWukKbzIzrs8/gxcGjUFuQ5pXaZcG2V4MbxKR09VLFIu2/3RIuCXX3kVfglpJuU6JLcEbVFFqTSsra2xe/duXrBc9oer4G+Gl3THzPCS1kgbeAnXYVSi2FTg2WefFTfDFTRNyZcYXgwvreFFo68vv/wS/qHhGC1chzpusKu33+C+SGzZMCgUKisrDB48GD/++KOkEZjzBx6BlzpjtnqXFA2eqXOnQ6RE8QmESIny4TfiNfV72jwXHLkkUqJEDxgpuwxxPnVKlH75mHjgE/llXbiH9JnLyqREuSe7rKEv7oNvcidkr90huwy6NtrTU6REWbFdp3Iov55PYhpSKCXKBfnXRaliKCVKSNdsFBy7UmWdaK/D8IyhIriKog5pXaacB8NLbx2n9N1JWddYdXUbqhvZTz/9hGHDRyB9+hKTijqk/RQp7buNvQMaNWqEL774gue91D9aBc8l8LK0REBKZ2Svehn91u7Q+qA8cN0WrIOzhxfaTZiHrGdeQvaqV2QdPZ98FoHtusG/bSdkySyDzp218mUEtusKv6R0kZ1Zbn2yVr2M8MwckaiTMk3rUqd2E+fDIzgCiSOmydJGfQ3pM5aKXWXicyfLLoeuI/OZ7WjYsrXIw0XXqS5f22fSpVW3fmgWlYieizdVWQ6dp1X3fiLDclBQEI4dOybLRhleDC+tR17UB1Ik3+tvvoXAtp2LkkgaSceyNwTi78L7ouN1cKkPlUqF559/nl2HFUBL/VIpvFRw82uB0F4DEdZniKyjZZcs2DvXQ7M2KQjq2BtB6X1kHf6pXVG/eQAo67DcMsT3OvZG/eb+oEzdfm0761BWbzRs0Rq1XBuAMrHrUqdmMW3h6OYBr4g4ncrxjk8TWaIbh8fqVE5gx15wdGsId/8QnX6zgLQecA8IgbNnU/indpOsEyXAdHR1F5HBmzZtkhV1yPAyUqdb3UdeNMl68+ZNtIxsg/ydJ0oBaCQ9y0JsyrErJWlSevbsJXzqciOa1J18TX0uCy/aOWXgc7sx+IW9so6s1a+irldzdJi6GNlrXhPZgiljsLZHryWbQXtn+qd00fq75c61ZgcC23eHX9tO6LHoWR3K2oGI7Dw0CApFxoptItt4ufNocY3tJy+ER0gkkkbN1KE+O9Fp9goBC8qRJ7cu9L3s1a8Wjby699PpujJWbEdojwEiWz3NO0vVidqHf0pnEVw1YcIEMQ2hrY0xvIzU2VZ3eBEMKBQ9b9QYtFWnEDeSlmXBRX9TBt2IrKKV/O7u7iL1uNyIJm0Nqrp9vgReKhViBozELBlzXhQoQ/Mwk49+AXf/liLjtkiHo8F8mVjo/tDn1JmU1XNeFX1Gk9doDid2yFhElZnz0uR7ZT+jnjsrP+dVnDXhoXqX/V5lfw998d1yc16Vfa6q18Wc1xulc15Vfbaq96gc9ZxXapk5r6q+U9F7VE5Fc14VfZZeE5oW3kfn2Svg3KgJ4hMScP78ea1dhwwvI3W41R1e1EnTbhs7dr0O75gkTDt1w3RGXxQ1ufY1ODjXE2u+tm7dClpczY9HFXgEXuduy/4dC459Ibboyn3pYKUZtx++0ajofzW8YgaO0inbNt3ExA4Zh6j+IzDxwKeyr4s62/RZy0U24Onv39JpjrcIXp3FyKSia9f0tZHF8Mp6Zrvs6yKQ0KbWPkkdIOBFMJbZH2oTbag+R/7O42gSEYe6devijTfe0HpTAYaXzB9L/QPIfa4J8KLRDAVEhMUlYsiWd3TqaOTqWOH3Cu+jgEYBIsOyFXr37o3ffvvt0Z6bXwHDSzrQiuElrZEceM048yXC+/x/e9ceFHUVhcddFhZ2l13shSiE9PAJSxsioIAOjZai1djLB4/KNNQZTWTSECuraSajjEqNGc18ZE2UPcYQR8CC0h5ADY1CU2M6PqaFcSZf/37NOQsua7i/3d9vcQkOM3dgd9m753733Pvde/be7xQizGRGaWkp+6I/Q1LIS8jLvdry8Z5XTwej3FnFq9cgu+hZTSvSXklIQ99QyCh1QRFCwoyg0CEdx5XvvXr2nOtvIS/liVmW5LMnAAAH5klEQVTISxkjNeRFuFKalKGxIzF58mS0tLT810G9PCPkpWGC1DLhDoSdF/kVnTrcX3MAozLv4bi3FkwC+t7mDhS+/zXCrUM5dLh582bVN/m9jJ///UtCXsoTs5CXMkZqyGtdSweKqr7DrY4MWK1Wv0OHQl5CXpp2XhQ6pF1N1vSZePyD6v4TOuzSURuRPBE6vR45OTn8HZ3svjz5VshLeWIW8lLGSB15dfI1G8ecAoRGmLBq1SqcOXPG00G9PBLyEvLSRF5EBufOncNzL6zn0GFZ09/u+oKEbfcOjiad7CVrOHRoi4pCa2urhA6vmgyEvJQnZiEvZYzUkheN1dwXKljrMCUlhUOHvi4whbyCNMEOlLAhzYUcOjzgCh2WHPq935AXnaZa+GEtwkwWvrBcXl4u5CXk5bd/Cnn1LXkVffY94u5Kg9liwZ49e3y+sCzkJeTlHswqDmzQXEgrJcqKmnXfLCzY8qm7viBh273zopg6nWganjSBQ4dZWVlyZF7Iy2//FPLqW/KihTyFDmmRSamMTp06dZWX9v5QyCtIE+xA2nmRa3V2dmL12nVIz1/af04d8oVIJ6YsLYU+xACz2Yxjx471PhIG6bMSNlSemIW8lDHSEjYkfGe9+DaHDknrsLm52afRKOQl5OVeiarceZGn0T2qL7/6CmMyc7Cqvt1dZzDwJdJqcqK4ro13gkn3z4NOH8KnDisqKiR02GNqEPJSnpiFvJQx0kJeFCFZ+vkPGGFPRZjRiB07dviUJkXIKxiTa4vrlA2pcFujR2DxJw39Y7eigbzo1GFbWxvunfMo5r77cVDaQ4S1Yn8rC/OS2vbonFw4ps/GrHkFiBs1lsmLTh1evnxZCKyLwIS8lCdmIS9ljLSRVydKfzyLux7M41OH8+fPx4kTJxTHqJCXkJd7l6SBvGgupFOHr77+BtLzl2mSB3J/Z6UwaJo7UPrTWSyv/hWPvLkLafnLMGbqDEyYPgvzFi7GW+9uxr7q/fi55Re8Ur6RFaxtNhsOHz6sODB6bE4G9J9CXgo+xlqZIg+lNCa1khftvujCsi0mFsOGDUNDQ4Pi99ODgLxICNKJB17exMnbnvroUFB2BR6d39zB9xtmr38HkdHDsfiTb1ms0uN/rjepdglmUl6m1MxsOJ1OvyZ4OrRBGZZr6+sxfuq9IGV3FuYMWDtId80liMo7rAOtvMObtHAl7siahqQp0zBnQQFee+NNVNccwG9Hj+KfCxf5YjLZ9vufx2Gx2fjUYVlZmV9tG8js1Xfkpf7KhIe2oQa9PfITFubt1jZUVZdLSJa1DTNyEFBtQ1X2ENl2IKDahlk9tA1V2uQir+c5L1jJN3+4F8S+jv9mV+gwZrwDen0INmzYAFLv8fbTZ+SlM4Qiu2g1a96R7l0wC6V4yHyqGJRhl74YDKYt3Z9NqScmPbkSpqE3YfZLm1C4LbgYkV0F2/Yh55n1SHSk4MiRI2hvb/e71NTUIHP6TFCyvO62Bup3XuUXePCV90Bq4wnpUzkZ3/DxDsx4LA/FZS+ifFMlPtz7JfbVHUL1oW+xv6tU13+Dz2oOIm70OA4dJicn+3wc19vgGQivXSEvXbeq/Okrqt8ULvO9OFFc3+6hKu/7ez0/p7i2jQV1WVVeQ3ZfunPYrSq/ooYyKavJFOzkKAKpyicQeX33Fz9W2zbKMu3OpKzGHtdi/Omqxq5Myjv86CNPnIncKXLhyqS8tqtdamxy9qoq7x9GTl7QU5LK0AgzcnNzcfz4ca9DLODkRerAdrsdQ3Q6zqoaPSqRlaaD/ds6LBahJjNuiL+9X9hDorFkk94Qihvi7+gXNlEfRY2IhzkyEnRhMD093e/icDhw4823wDb81oC36ZY7x2FobAKMFisffScfM5osiE24HWMT7RhvT+61jLMnY2ySHaZIK4YMGQKLxYLGxkavA2OwvOgmLx0v7ibOfxpp+UtVlZRHn+TFWOKMh0GK8KrreeQJ0AqcFptq6+D35S3heqLH2OF4qFB9XXlLEJ+WzT6dOncR0vLU4UM2jbtvDmyxI0EJN7W0LWn2XJ4/KNu0lnpogWCLjUecI11Tn02Ytwhxd2fgpttGg/xAlU15S/jQhsEYgZiYGDQ1NXmNkAScvGpra5GRkcErXJ1Ox5MMyfMEvZAtV0qQ7dHpoePSv22iTMRqihtnap+fWF/po6uw6RWzHv+jYGtPm0wmEw4ePDhY+MlrO4m8SkpKuJ8NYUaER9o4PXu4Ncrv38ZIK/QhIQgzW7TVY7GCbGF7rOrtobZ010MLHjVt4vdE2hAaHsELTSPjo94mwoYWrLS7UG2PNQph5kjoDQZWZFdfj437iewhwtDS94x1eARCQsN4canKpi6ciSsMBgP27t3Lkm7XcuCAkhd9CCUorKurw86dO7Fr1y7s3r1byiDDYPv27di4cSO2bt3qV9+Tv1RWVoKUMCjmTWXLli3sS4HyIzqGW1VVpRhPv9aAGWjPkzoKETldDi0oKEBhYaEUwSCoPkB+uHz5ck635C2JbMDJiwY3DYhLly5xoWPJUgYXBhcvXuRFzIULF/zqe/KZ8+fPM7HQyUUq9JieD5QPUV2S28uTggmT06dP4+TJk1IEg37hAyTQSwfAvP30CXl5+0B5TRAQBAQBQUAQ0IqAkJdWBOX9goAgIAgIAtcdASGv6w65fKAgIAgIAoKAVgT+BRlUP1GgdwDCAAAAAElFTkSuQmCC[/img][br][br]Which answer choice(s) did you select for the previous question? Here, explain [i]why[/i] you chose each answer choice you did.
This app has one square and some small, medium, and large right triangles. Click on a shape and drag to move it. Grab the point at the vertex and drag to turn it.The area of the square is 1 square unit.
Write a definition of area that includes all the information that you think is important: 
Use these shapes to create a new shape with an area of 1 square unit that is not a square. Place this shape near the bottom of this app.
[color=#0c0300]Notice that you can put together [/color][b][color=#1e84cc]two small triangles[/color][/b][color=#0c0300] to make a [/color][b][color=#bf9000]square[/color][/b][color=#0c0300]. What is the area of the [/color][b][color=#bf9000]square[/color][/b][color=#0c0300] composed of [/color][b][color=#1e84cc]two small triangles[/color][/b][color=#0c0300]? Explain your reasoning.[/color]
Use your shapes to create a new shape with an area of 2 square units. Place this shape near the bottom of this app.
Use your shapes to create a new shape with an area of 4 square units. Place this shape near the bottom of this app.
Use your shapes to create a DIFFERENT SHAPE with an area of 2 square units. Place this shape near the bottom of this app.
Find a way to use all of your pieces to compose a single large square.
Recall that the area of the square is 1 square unit. Use this app to help illustrate your answers to your questions below.
What is the area of the large square you created in the app above?
Recall that the area of the square is 1 square unit. Use this app to help illustrate your answers to your questions below.
[color=#0c0300]The area of the [/color]small triangle[color=#0c0300] is ____________ square units. I know this because____________________. [/color]
[color=#0c0300]The area of the [/color]medium triangle[color=#0c0300] is ____________ square units. I know this because____________________. [/color]
[color=#0c0300]The area of the [/color]large triangle[color=#0c0300] is ____________ square units. I know this because____________________. [/color]
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Information: IM 6.1.2 Lesson: Finding Area by Decomposing and Rearranging