IM 6.1.10 Lesson: Bases and Heights of Triangles

Draw one triangle with an area of 12 square units. Try to draw a non-right triangle.
Explain how you know the area of your triangle is 12 square units.
Here are three copies of the same triangle. The triangle is rotated so that the side chosen as the base is at the bottom and is horizontal. Draw a height that corresponds to each base.
Draw a line segment to show the height for the chosen base in each triangle.
For this triangle, identify and label a base and height. If needed, draw a line segment to show the height. Find the area of this triangle. Show or explain your reasoning. (The side length of each square on the grid is 1 unit.)
For this triangle, identify and label a base and height. If needed, draw a line segment to show the height. Find the area of this triangle. Show or explain your reasoning. (The side length of each square on the grid is 1 unit.)
For this triangle, identify and label a base and height. If needed, draw a line segment to show the height. Find the area of this triangle. Show or explain your reasoning. (The side length of each square on the grid is 1 unit.)
For this triangle, identify and label a base and height. If needed, draw a line segment to show the height. Find the area of this triangle. Show or explain your reasoning. (The side length of each square on the grid is 1 unit.)
Find the area of this triangle. Show or explain your reasoning.

IM 6.1.10 Practice: Bases and Heights of Triangles

For each triangle, a base is labeled b. Use the segment tool to draw a line segment that shows its corresponding height.
Select all triangles that have an area of 8 square units.[br][br][img]data:image/png;base64,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[/img]
Explain how you know.
Find the area of the triangle. Show your reasoning. If you get stuck, carefully consider which side of the triangle to use as the base.
Can side [i][math]d[/math][/i] be the base for this triangle? If so, which length would be the corresponding height? If not, explain why not.[br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAUgAAACfCAYAAACbWEAQAAAgAElEQVR4Ae2dB3TUVfbH/+dQUkhITEISWugEQpPQiyLSFAFBRLCAiKygFAHpIEhfmvROaKFKFwFFpcoKFhAQXNe2IuquZZtr2Xr/53PjaBYTZphMZuaXue+cOZPMzK/d99733fK99/2fWDMJ/CiBv//973L58mX5/PPP5bvvvjO5mARCXgL/F/ISMAH8JIFLly7JnXfeKY8++qh89tlnP31uf5gEQlUCBpCh2vM5PPehQ4ckJSVFevfuLVeuXMnhF/aRSSC0JGAAGVr9nevT/vOf/5StW7dKVFSUDB06VL744otcf2tfmARCRQIGkKHS0z8+53//+1/597//LQCi6/Wf//xH/vznP8u8efMkJiZGduzYId9++22IScYe1yTwSwkYQP5SJgX2E8DxH//4hwZiTp06JS+//LLw/tVXX8nFixelS5cukpCQoOY1oGnNJBDqEjCADKERABCePHlSHnvsMenYsaPccccd0q1bN5k8ebLs2bNH6tWrJ5UrV5avv/46hKRij2oSyF0CBpC5y6ZAffPNN9/I8ePHpUWLFlKlShVp3769AiUBmfr168uwYcOkRo0aCph/+ctfCtSz28OYBLyVgAGkt5Jz2HFQeLp27SpxcXEyZswYNbMxufE1zp8/X8GxXLlysnz5cvM/Oqxv7XbzTwIGkPkn26A5M/7EhQsXSqVKlVRz/OMf/yj/+te/9P7wSZ4+fVq1yAoVKsj27duNJB40PWc3EmgJGEAGugfy+fpErKHstGnTRqpVqya7du2SH3744aerApBvvPGGNGzYUNLT0+X111/X6PZPP7A/TAIhLAEDyALe+d9//72cOHFCatWqJa1bt5aPPvpIaT6ux+b7gwcPSlpamgZt/vrXv4pFsF3SsfdQl4ABZAEfAQRnVqxYIaVLl5ZevXoJfsfsjfzrlStXStmyZaVHjx7Zv7K/TQIhLwEDyAI+BP72t7+p/7FUqVLSp0+f/3laNEXM7+7du2uK4ejRo//ne/vHJBDqEjCALOAjAIAkSn01QKJJwouE/xgfHy+pqaly4MCBAi4NezyTwPVJwADy+uTluF9jQmdkZKiGeO+99yooYnZ/+eWXShqHDxkeHq5RbLJprJkETAI/S8AA8mdZFMi/iFL/5je/0SANgZpNmzbJ2bNnZcOGDXLPPffII488ogBJVg0BHGsmAZPAzxIwgPxZFgXyL/yMaJFkytStW1dNad7btm0rU6ZMkXPnzulnixYt0t8VSCHYQ5kEvJSAAaSXgnPaYR9//LFkZmZqFs306dNl79698oc//EEwtzdu3CgffPCB0Xuc1ql2v/kuAQPIfBdx8FyA7Bl4j5jdxnUMnn6xOwleCRhABm/f2J2ZBEwCAZaAAWSAO8AubxIwCQSvBAwgg7dv7M5MAiaBAEvAADLAHWCXNwmYBIJXAgaQwds3dmcmAZNAgCXgFiCJdhL9ZIMn3u1lMrAxEDxjgHlJSburi5AEGFcKzOWvCZAI/sMPP5TDhw/LSy+9pJs88be9TAY2BoJjDDAvyZT65JNPlMLF7pSkkQbDi8LMvnr5+nn+9Kc/Kd3NHZLnCpCsSK4MDErxUy7LXiYDGwPBNwbq1Kkjq1atUpA8evSo7Nu3L6CvZ599Vnbv3q0JCKS0bt68WbZt2+bVa8uWLXo85+O8vni2/fv3y5EjR7QugdcAiWn96aefahHVsLAwKVKkiL1MBjYGgnAMlClTRtNG2ca3Xbt2UrNmzYC+qAxF9ajixYtLbGyscH/e3hPbgCQmJmqxFSrie3ue7MfVrl1bWrZsqZX0vQZINEgyLmbMmCHVq1fXiVGoUCEpGlZUSpQqIbUb1ZAbm9aRus3sZTKwMeCvMVC9bjVJLJUohQoXEuZjsWLFpEGDBpo6ym6Uly9flvfeey+gL/Zav//++yU6OlqSkpKE1FZv7wkNlCIro0aNkjfffNPr81x9fQqzYCG7a7ma2K4DP//8c5k7d64WNIiMjFSArF43VZ6YOUjmbf+1LN03T5btn28vk4GNgXwcA0v3PS3zd86UIdMekyo1K6nCEhERIWhDlLMDHIMlUIO/cOzYsZKQkCBVq1ZVU9uFJ9f7fujQIWnatKnMmTMnIPu1uwVIHojCqmiSKSkpQqdEF4+S5u0ay/L982XHmxvk2YtbZd+lbfYyGdgYyIcxwPxini3eO0fS0qtJZLFI1RwrVqwoO3bsEPYRCqaGZoa/kG08KKP36quven17jgBI/JGsULNmzdJN54sULSIRkRFy0+1NZP6OX8ue85ttYuTDxLBFxxZdxsDOM5mycNcsqdO4lkRGRercYwtfgh9ErYOt8IgrwIsvcuTIkYod3iKkIwCSh6MTCNlPnDgxCySLFJHomChpfVdLWbRntuy5sNk0SQNJWyh9PAbQHOdunaY+f5QStEcCDvjm0Byh4gVbgyeLmV2lShUZMmSI4oa39+gYgHQ9IHyrSZMmSfny5dXcjo2LkVadb5FFe+boSmfmtmk9pvnmfQw8+/ZW2XV2o8zbPkOa39ZYikVHauV3AqZLliwReHzB4nN0YYPrnX2Qtm/frrRAourHjx93fXXd744DSDqFQqvsgEcoHwoQmmSbu26VjBcXy663NpoW4WMtwgAn74DjJBmqz/FMpqw4sEBq1K+eZVZHROh8g+8IOAZzI7A7cOBAueGGGzRuwbbC3jbHASQP6lKhx4wZI5DI8UniG2nfva0s3jtX9l7YYiBpIGljwMsxgOa47Ll50vCWdIkqXkw1R+YZmiOmazCa1dkBEFfc0KFDJS4uTuAxrlmzJvvX1/W3IwGSJ6STrly5Ik888YQKASI55nannu1l+f55svdtA0knaS12r8Ghpe48u1EW7JwpdZvX+SkgA1UGqt3XX3+tysl1IUwAfkwUm8wXoti33XabpkJ6exuOBUgeGHObvUwgccKWZ/vQuBJx0umB9rLy4AL1oZhPMjgmngFgcPcD82T3uU1K5WnZ6SbVHIsWLSpEq6dOnapurWD1OV4NfgR0CSAB7MOHD88Tf9HRAOkCSVISUamTk5OFTo25obiC5NrDS7XTbXIG9+S0/gls/wCOmNVrDy+T9OY3SrHoLLMaovW0adPyFAW+Grz88T8ASaAGgBwxYkSefKaOB0gETsmlzz77TFcLyOT4JPGd3NnrDiWTE5GzSRjYSWjyD17573prkwZkmrVrrAHPsPAwjQADjgRE8fk7qcHNpMgEQdw2bdpo9S9v779AACQPj0+SrUUHDx6skavChQtLXEKs3N23s5rbBpLBO0ENPAPXN7vfwqyeK83aNvpJcyRDBtOUYAfKh9Ma901sIj4+XniWtWvXev0IBQYgkQCq9bvvviuPP/64mtv4JOOT4qXrw51ktVGATIv2MqpbEAFcfY7nN6uFdVu31hIdG6351VhgUOgIgDrF53g1+n3xxReaQYOLoHLlyrJ+/fqrf+Lx/wUKIHlqOhUyef/+/bVMET5JotuA5Lqjyy0t0UDCFopL2wSzesPxlUoCBxzVdx8To5oXPn0nN/yPW7duVTdB69at5dixY14/zgsvvBD8xSqu9+kok0bZpQEDBmh0u2jRIhIdGyXdftVZVj6/0FISDSRDGiSJVq96YaGm6RLQJNmiZMmSqnUBjk40q7NjRPYo9rBhwwSNEhecN6+DBw9KkyZNZPbs2XmKhme/v+v526NqPtdzQtdvEQYUoMcee0xXEnySCUnx0uPRrrL60GIDSQPJkATJ3ec3qVnd7u5WalYTkMGs7tevn5rVKBdOb8x9OJvkYnft2lXTDqnu482LQFWNGjW03FkgMojyDSDpZFaSt99+W/r27SslSpTQlTKxVAm5f2A3NbdZSQuif8meKXBBj2CVPT5Hql6hOZJMgdsJpQHNEUuLAGdBad98840cOHBAieL4IdPS0qR58+ZeverXr68a5Lp165Q65G8Z5StA8jCsJlTvfeihhzSqpRk3CbHywKB7JPPESsu4MU0yJBZJwHHTydVCQCY2PlYDMlQDf/DBB3V++Hvi5+f1yMUG9MnFhhs9efJkuXjxotev3/3ud1oyDSzxd8t3gCRo88MPP8j7778vPXv2zCKThxWV2IRY6T3sPlnz0hIztw0kCzRIAo64lTref7uCI2Y1WxEQyMRXXxDM6uzABXeTxBF4kESxKVYBBnj7Qj6AYyCi+vkOkAiOB4PseunSJV0xk0smq3mRWDpRQZKMG0yQYDWP7L7MZPZ2DACOBCZJmkApcJHAe/TooVsqAxoFrWFiE8WGC0lBG7aldWrzC0C6hMMqcObMGd3QB/Vbo3cpyfLwyJ6y8ZVVggPb24FoxxmIBdMYUJ/jhc2S8dIS6farLlqjAJ8jmuPDDz+sm0+55kVBe2eef/vtt1rtnJzs77//3rGP6FeAREoID3Ob6BYgiU8yPjFO+o5+UH00pkka0AUT0Hl7L5T823p6rXTp3eEncGTTu3vvvVfHv2MRw4Mbx2IkQIvVyHznb6c2vwMkwmNFIbrdrVs3SUxKVLMjITle+o17SNYdWW5apPkkHT0GAMc1Ly+V7v3ukvgScTq+2du5T58+GpApiGZ1dgBEa3zuued0u1fKtJ0+fTr714762+8AiXRcPslz585J9+7dNeNGKQ8pydJ3VC9Zf2y5+SQNJB0JkoBjxotLpOfg7pKQnKDgCJWnS5cumoZb0MGR+U0uNlV82JYFDmNeUg0DjaYBAUjXQ5MxgAMXczs2NsuBnVKpjDw2sa9sfjXD0hINJB0FkoDj+qPLpefgHgqOmhyRkKA+d2oUhEpzFauAAM8eOnAYndoCCpAIDT8FPCf2z42JiZHCRQpLieQEGfDUI7Ll1TWOmiDe+qvsOOf7XalWtf2N9dJn+AOSWLKEFCpUSIOQnTp1knfeecep+ODVfbNFdEZGhvTu3VupTC+//LJX5wmGgwIOkJjbRLyIbnfo0EFg3odHhEnJlGR5fOqjmtBvAOJ8ACnIfcj2ImiOgGOJkiWyfOoJCXLPPffo4v/dd98Fw1z32z2g9FCwghzsr776StiCwakt4ACJ4ABJzO033nhDfTXUkSO6jbmNJpl5YpX5JM3cDkprAs1x3ZFl8uiTfSW5TNJPARn2Yrlw4YKjKS7egpqL5kPuNNqkkxeIoABIV0cAkkePHhX20i1evLgOtorVyssTMwcqZWLPhc1BOUkKsnZkz5a79o7mCH+337g+Co74HPGl33XXXXL+/HnXsA65dyzCV155RX2PmzZt0gQRpwohqAASIZJWxMp7yy23SHTxaN2+Iblskjwxc5CCpE3Y3CesycZ/soGvu+NMplo4JVOSNDOMxIe2bdsqODqZ+5dXMCMXe9CgQeouI5Kdl32x83oveT0+6AAScxufxfHjx+Wmm27SFTk8MlzKVUlRkKTAhQGB/4DAZP1LWQOOuH0GTuonSWWSJDwiXPeA7tixo2pLaFCh3MjFdu0qQC42ARuntqADSATJ6gtfDHO7ZcuWGt2m4nKF1HIyaHJ/NWss4+aXE9fALP9lkgWOK2XknCFStmJpdQNRyq9Vq1by2muvOdrf5isQgyi+Zs0aJcZTD/bIkSO+OrXfzxOUAOmSAhk31JVr3LixUBoKE6Zi9QoyfNZg2fbaOoF3ZqCQ/6BgMs6SMQGZLafWyrAZA6VMhVJqVuMrh31BgBHrx1pWOjFWIEVz2eHQgjT5OCowV06dOiW1atVSkCwaVlRKlUvWFZxcV5u8BpD+GANojjvPZMro+cMkpVJZKVKksLAp3a233iqvv/6647Zmzccpq6dmscAS5N3JC0dQa5BIGiGjsrN5T8OGDTW6jU+yQmp5GfX0UC1w4Y8JYtcIXSB+9tJWHWdYLqXKl5SIyAj1OULlgb9LeS9rP0sAeWBWL1u2TE1tUoqd2oIeIBEsIIm5/fzzz6u5HR0dLWiSlWtUklFPD9G0RPNJhi6A5ffiRSXw8YtHSPmq5dTnCE8XlsWJEyfUfHSyhpQfwAVBfNSoUVKpUiWpXbu2ZGZm5sdl/HJORwCkSxL4Mvbs2SM33nijRERESHh4mKTWrizjFg7XNC94afk9Wez8oQPELLqkD45Z8ISyKOA5RkVFSZs2bRQcIURb+6UEslcUZ+MuAjZObY4CSFZql/petWpVob5eWESYpFQuKxOWjZJnXl9nAGkZNz4bA7ve2igTlo1W9kSRokXU5wj1DM0xFKryeAtqBGaWLFmiRWgeeOABtfy8PVegj3MUQCIsVm3Sl9hCEk2SFT2yWISk1q4iE5aOlC2nrMCFabl513IZR08uGSllK5bR8UWGDGY11afIMzazOnfoIiOONMMrV67IZ599pjGE3H8d3N84DiARJz5Jotu7du2SOnXqZFGAwsMkLT1VV3woQOaTzDtIhCrQbn51jTy1YoxUqVlJLRQq36M5vvjiizruDByvDWqumAELCRafk7VtRwKkq3vgWm3ZskVSU1PV/CGjoVbDGjJ97QSlZMBbC9VJbs99/QuEi8ozcflooQYAPsdixSKlRYsWyqKgSo2Bo2v25f5OrODs2bNq5cFj/uCDD3L/cZB/42iAZLBibtMJFOckcIO5zco/M3OSbH9jgwGk+SQ9HgP4HNEcK6dVkLDwohIRES7NmjWTw4cPO5rs7G8McgVpSpcuLcQKLEjj7x7Idj18kvg72GayZs2aam5HRkdKrYZpMn3dBAvcGEB6BJD4HAHH8lVTJDIqUmsAYFYfO3ZMF2HTHLNNOjd/ApCDBw/WrVQqVqwoq1evdnNE8H7taA3SJVZ8Hvg7Nm/erHtgQOTF3K7btLaa2zve3GA+SQPKXIEScJy0cqwG+mBFUNm+efPmGn3FjWPg6Jppnr0TxV68eLFGse+//36LYnsmtvz/FSC5YcMGYdUib5uMm7rN6sjT26YL5pMFbq7fL1eQfZmMB8YF4Fi5RkXd7gM3TZMmTdR/5s7naMCZ85y2iuI5yyXgn6JJkiC/Y8cOwf/BYC8WXUxqNkiTRXtmy86zmblqEQUZCOzZcl4Ydp3dKJNXjZOqtSprtJrc6nr16sn+/fu15F5uAMjnjDV3ABrwCRGgG3DJB/cXL2Tl1FYgTOzswmfQsg/G2rVrdUe1yGKREl28mDRokS5ztkwVzG0DjJwBI5TkQqGTqRlPakCPRZSqPOnp6ao54tPOaVLD76OY8/bt29WEXLp0qbAhFb+39rMEcEtQwAM57d27V37729/+/KXD/ipwAIn8WbXwg1DJmFQnV3S7cav68vQz0wXNwczt0AVJwHHK6nFSo1519VWT24/mCGUMN01O4AiXj9032YirUaNG0rRpU6X/DBw4UAhKWPtZAl9++aWMHTtWFRTkyrYLTm0FEiBdnQFIrlq1SsqWLas+SShAjVrWk6X7npbd5zYZSIZY4IZFkX6fvm6iVL+xqpYsw1dNKT02twcEczOrAcGRI0dKyZIl5YknntBtFd5//335/e9/bxQg14T78Z0tFyyKfZVQgvFfNEk2MaeaSHJycpa2EBMl6c3ryPL981WTDCWzMtSfFcth2tonJa1eNeXL4nOsUaOGao4sprmBI2P7zTfflPr162t0+9VXX1UwZf8k80P+cubjcpg/f74WEr777rvlueee++WPHPKJ4zRIBiQ+DtR4AjLuqhXze367fPlyJa2qTzImShrfWl/m7/i1BW5CRIsk/ZTkgerpqRIdE6U5/NWqVVOOHuW5WExza/geqUfK1gpdu3bVfWcYd9cC1NzOFQqfs3AgUzJo0LCZp9fTkCv9EQzydRRAssq/8847Wilk+PDhMmbMGNm3b59qiTn5jVydgrAByQULFkiFChU0LREy8E23N5Elz841c7uAg+Qzr69XsxrKF9Qvtu9Ac2TRZEzlBo58jrnIFq6YjJjj+CAZR2hF1CgNhknsGufB8s5cBCSpl8BCwgLjSSNv+9NPP9WgDvv7vPvuu/Lee+/99Lp8+bLfC184AiAZhPiHqOBDdkOpUqWUxpOQkCDsmjZp0iT93l0nsJItWrRI/UhsAgZINm3TUFa9sEh2n7c9twuaCY7Pkb3UZ22aLHUa1xT6nLJlFHLFBGQCXwvgAECCMARlkpKSpFChQnpsWlqaQIA2EnnOM84V0KIsHO4Iqvpcq9EHWHonT56U3r17C/KlvkL16tX1haZP4d3WrVsra+Ba5/L1d44ASFaWbdu2qZDYdgGWPtXFSWGC1Euk+sMPP3S7LwidwArF8Qx4sm1ibiiu5vbqFxfLrrc2GQWoAGmTkMBnbZoidRrXkmLRkaoBlitXTtkNWBTXsjqYaIwXfI9Et6kaRckzKkix2+Zbb73l9nhfT1annA/zevTo0TovKUnorqI4CxUyZSGipNyKFSuUy4wyQwANhYhgK9aiO7D1tYyCHiAZpPgy2ByJQQp1B7MH0MTcfuihh1SA7CrniSqP6s/xs2fPVm2AtMTo2Gg1txfvnauZFQVNkwrF56ESOD5mAnL0L75nMqzmzp2rNQoZV+4amg0mIlxHxh4azCeffKKaI1qStZwl4MrFxmeLS8tdLjaB1D59+qjmCLeU+YnrA6Wnb9++GmDFB8yixvz1Zwt6gERQbP6D32jIkCHKRcO04fPjx4/rioP6TWFOTwY9wnX5lqZPny5oFGHhYeq4b9W5paw4uED2nN9sFCAHa5IkA8zZPEWatW2k0Wp4sFgZgCNuFk/HiWsiPv300zp58XlTPcratSVAFBtZt23bVu688051jV3riI8++kiBFO0Rf6+rIWtiDWiQL730ktuArOs4X74HPUDiqGVTdsi8pBBi8uCrIOeazAf8FXSGNysLKxeaJCsd/qno4lFyc/tmsu7ocvVdhaLm5fRnpgbowl2z1LfMwle4SGGdYE899ZTXlcD79eunCynbCGC5WLu2BFiAADc0QeYY5PtrNQIxUK569eolH3/8sf4U7R1tvXv37spjZt4HQmsPeoDEvAEEiSDyjk8DvwRaY6dOnbTMGZ3gzp+UUwdhktMhgGRiYqL6JGMTYqVFh2ay7sgy2X3efJJOAszdb22ShbtnqU8Zs5oxw+LnMqtzi1bnNDb4zGVi33vvvRosOHTokEauc/u9fZ4lAeSGrJlfvNzJHVOa2gk333yz+nZRdgBVLEfmOtvrsvWzN3M8r30S9ABJcKZ8+fJqInXp0kWjitAsULnRLsm7dtcB1xISnUHgZvLkyXodfJKxcTHSqvMtSiYn88JJIBGq94pZDWUL6lZsfKymlzLpJk6cKNBDPPFPXz1O0IQuXbqkE5fUQhbT6zXPrz5nKPyP3xa5odzgBoMLea1GUAe2AG4QtEgsRfoNYj7gSE3OvMzxa13b3XdBD5AZGRlaLZzwP4UCcNSyuiAwVipfNAY9g5/8USYVmgfR7fY92krGS4uzzO2LoZu7HOygS4YMAZlWnVsodQt2AumlEyZMUMKyt6DG4glbAssFf5rxHj2bbSgtyB5rj4UFJSe3hlbI78nXpuA1wTCquHfo0EGefPJJBdlAujWCHiChCBAJ69atm4JYdlDk7+z/59YJnn6OJknHQucoUqSIRj/RJDeeXC17L9ie28EIlHAdCay1vqulhEeE6T4y8GPJm86tKo+n4wFApFI9PDyiqdY8kwC+RzTCuLg4VW5gnuTWWITOnDmjYIqr69y5c0LQhrkYDNlKQQ+Qr7zyilZaQSPAB0T0GmctqwpCRJgI2ReN81CAYPz48eq7QhNJSIqXtne3kg3HV2h0OxhBIlTvCffHyoML5JYON6lZjebPDoSwE3Dwe6s5usYSbInHH39c/d3uuHyuY+xdlCkA2EGL6tixo5Y8y00uxA8GDRokLGpo61RMou9Y3Lxxi+R2HW8/D3qAhFM1depUKVOmjPokIKCijuOjgELAd+4yIq5HOGgNmNtQOnQjMHySCbFqbq98fqGBZJDQf3ae3Sj0R7turSSuRJz6HClIQr/Rf75YNHHlwJTAVMSXZs0zCaDAoLzghwTwAMHcGtomVltkZKTKGVDt3LmzTJkyRfPfUVgCCZRBD5AIB/Y86YQuWk/dunU1ukXhAIpy+jr8j+ZBZI2yVky6omFFFSQ7P9hB1h5eZuZ2gEESzXHZc/Pkjh7tJKp4MaWIwJVj8WQy+mJC4RvD383CDM2MpARrnkkAtxdziHnJKzdNnsg0C8+IESM0Nx4eJOwUUkFxa+D7RYNHo/SlK82zp8j6VdADJLeJcNAIiEZCJCXNiwGLc9cXmkJuAkMTGTZsmFZ+YY9kotu339NGKLi6923zSQbKtF9/bIWwWJEdU6hwIfUZQyiGBO6ricTEJo84Pj5eg3eMNWueSYAFisQN5igaZE7VfOinnTt3am0FCoAQgGV+E/HmbyqRE7Sh1gI+TItiu5E9KzqDFnPa9aIjfDUhcro816NcPBk8TBR8komlSujkzDyx0sjkftYkyXBae3ipujvwDUMEJ6AGCRxfdG6aSk596+4zAHHatGl6fnKD83MhdncvTvse2WHxQdOB24iVl70xbzGd+f6+++5TIGVO497ihe8X7XLevHmqWY4bN84AMrsAg+lvImnkgpNNoRuBRUZIfGK8dOndUTJe/JEC5GegCJTmFsjrYlaveXmpdO7dQRKSEwS+KgVH0PB9FahjsWVRZJKi/VDslfxtqkjl50IcTOPdF/dC3ADTmOSLnPbFZk4RcCXwSoDmah8l2iL+X1wmEMUBStMgfdEz+XQONBMmTP/+/X9KS2SSdu/fVTYcW2Hmdj4vEGiOGS8tkbt/1Vlz5klLAxyHDh2qppwvfI4MHfoZ1gTEZLRSzDsCBpiJ1jyXABokTAL4jG3atFFTOvvRLECkC+NrbNeunZw6dUr39QEoAVfM7HXr1gmxBvinp0+fDkgWDffsCB9kduEG6m80CHJGH3zwQY2YkuMbnxgnd/XuKFSrNp9k/hHpN55clQWOsdHKc2QHQgrYMpjQbbgAABFdSURBVKF8mX4Gdezhhx9W3i0ATKCA3fkw/6x5LgEWLPyO+BSJZl9d4IM+Q4uEW4qGCVukZcuW0r59e33H90iKKBt+PfPMMwEpUuF6WgNIlyQ8eKdTcSBTmgm+HT7J5DJJOnk3nlhl0W0fa5IUu934ymrp3OsOKVGyhEarAUeoPCxWvtIcXV2Pn5EUVkpuUX8QzQXQDJR557ovp72jTNA3uCt45eQbBiQBUAI1aJuY07ixcJnMmDFDq71DGof37MtF8HplaQB5nRLDgUzgpkePHmrmRUSGS4nkBLn3sbvVR2YZN77RJCkUsv7ocrlvQDcNjOFzxKdFhgYOfiaerxsTEd8XJiJEZa5hvsfrlzJyw0wmQwbWCVzHnBoLD8EYIt74kXFl4O+H1kcfsGAFWv4GkDn1nJvPWBHpeMruo0mSlkh0+/6B3SQTTdIoQHkq8MEiQzUlFp3YG4pnsQcSE2XAgAHKibOIspsBGuCvMa8hejdu3FgLXaMlOrUZQHrZc2gbFy9e1Gwe3eukSGE1A+95pItQzZq6hIGM+jr52vBM7x94j/JO4Z9GF49WcESzMHPXywHrx8NcudhQ41xbXPjx8j69lAFkHsSJuU0hT4iuMTExqumUTEmS+wbcnVXgwjTJ61ok0BwBR9gByWWz9gyKiorSaDVpa/lhVueh++3QXCSAeYwfkQ32iEKbBpmLoELhY5z4mNsMhOxk8r4jewkZH2Zue+aThMoD+b73sPskqUySbpVAAQMCYtT9JEBmzRkSoK/IQjt79qwGNfExOrWZBumDnsMnCZeLCudsDVGEMv/lkuVXox+Uza9m2P42bqLbLCIbX1klfYY/oDnv4eFhutj06tVLo9WmOfpgkPrxFARWcIUQyWZuBDIKndfHNoDMqwR/PJ7BQNQOPhd+M/ZfLlkuWR4Z21t3SqRuoZP9gvl578+8vl4eeuJ+LS0HvxSzmgLJRDSZaIGOZPpoiITMaQDF7DxIItVObQaQPuw5BgKa5B133CHw9SKLRUhKpTLSb9xDWZqkBW7+Z5FAcySg1WtIDyldvqRAmWL3SsjaLDZmVvtwcPrxVFCkZs6cqcrC7bffLnv27PHj1X17KQNI38pTeV2vvfaaNGnSRClAgGSp8iVlyLTH1Iw0TTLLJ0lAhgwZ3BAly2b5HPHhwi+FHUAAzJozJeDKxSYbiXRCd/tiB/NTGkDmQ+9gYpw4cULzTNGIMLlTKpeVx6c+KpiTz4b4/jZQoPDNollT7NZVlYf6nmQqmeaYD4PSj6dkEy4KWlNomHzsLVu2+PHqvr2UAaRv5alnw2dGYIF6go0aNVKApOhuSqWyMnzWYK1KHsqaJDsQPjyipySWLKEke+o6sv8xGUosLuZzzIdB6cdTQuRHiyQzhsLT0H6c2gwg87HnyCNFk6QiNdHtyKhIqZBaTob9eqDy/UINJF0+x4dH9tTFgvTBiIgINatZTMyszsfB6MdTE7UGJCnygTXg65x5Pz6KVfPJT2GjCVHJBJBkO0vI5IBkuSopMn7xCNn8m9ChAOFz3HRytfQf/7BSoNAaSdNkUyd4pORAWysYEgAcMbNhIZCTnVNFcac8qWmQ+dxTgCRm4+HDhzWqh8aET7JCank1tzE385NCEwznRlPecmqtDJj4iKZj4nNEo6YWIAEtKyeWz4PQz6d3RbFvvfVWZXSwfYJTmwGkH3oOkAQEjhw5ohWSAUhAomK18jJp5VjNtinI5vbOM5nSf1wfjVbDD6XgLfQP9hZC2zCfox8GoR8vkT2KnVNFcT/eSp4vZQCZZxF6dgJAAFPj5Zdf1hxVyNDRxYtJpbQKMmb+MC26W9BAEp8jGvKjT/bVxQDKE+CI5kjdRScTiD3r9dD8FbtBsidNgwYNpEWLFlr01qmSMID0Y88BkgRu2I+jRo0aWWTyqEipnFZRZqx/qkAFbgBHqDxQm8pWLK2+V3ywbOJElW7kYK1gSgBriYLGbKtAX5OX7dRmAOnnngMkieodPHhQmjZtqhoVJnfVWpVl/JKRsuvsRsf7JNGEn3l9nQyfNUgzZMIjwnRjeJ4XN4NFq/086AJwOSLZpIny7mQXigFkAAYPA4aoLSDJvieFChXSNLvU2pVlxvqJstfhKYk7z2bKwEn9VHOE/xkWFibNmzfXNEw2bHJy8YIADBfHXZKgJOObSDYcSCcviAaQARp+gCS+mgMHDkjDhg21QEN0TJQAkk+tGKMZN/t8nHGD2UvAZPWhxeob9HWEG2DH5zh0+gDViKE0AY7UBXzuued0G4MAidsu60cJ4D5ZsGCBVreiVipj3KnNADKAPYcmReAGGkTVqlWV+hJVvJhUr5sqc7ZOUzPVVyCmPsHfZCi1qGmbRjI1Y7z6PH13/iwqz8g5Q6R81RQpFl1Mn4d0M7ZSdTIXLoBDxJGXdkWxk5OTNRc7IyPDkc/BTRtABrjrXD7J3bt3qyaJSYpPMq1uqlKA9pzbnGefJD5BquYMnTFAo8ns6V2tTlUZPX+Y7D63Kc/1Kskt3/7mBj0f4Mhuj0Sr2bZz//79ujNggMVsl/ejBNiOl50nWfTT09MlMzPTj1f37aUMIH0rT6/OBkiScbNr1y4dVAAk5mlavWoyd+u0PFUlBxx3nt0o/Z/sK6l1qkjDW9Jl4vLRcmPT2qqpYs7veisPgaGL2/R4AjKQ38MiwoQ9eqB4HDt2TP1P5nP0alg49iD8zGTQsB0JW7daRXHHdmXw3DgggmnC/h2kJVIFKOaGaElLT5VpaybI9jeuP+OGqjnbXlsngyb3lxr1q0uLDs1k1sbJWnZt+toJcnP7plI9PVUmLB2lv7tec1vB90ymao5p6dXUrAYc8amiETu5SEHwjAzn3QljmWItbEdCgIZkAKc20yCDqOcYWARuNmzYIJUrV1aQhExeq2ENmb9zppqxnoIY4LXl1BoZPW+oVKlZSZq2bSSzN09RGhHfAZzT102Q2o1rSp0mtWTqmiezAkNutkdwXd91jgnLRknlGhUluniU3i9RecjwPIe10JQAUWwsIjRHFn0n59kbQAbZGAYkMVHWrl0rtWvX1nJgbENQp3FN+fWGp4SiDy6QutY7VJuRc4dIau0qCoAEfa7mWMJVnLVpslS7saqeH3ObYM61zuv6jnORJsn5wyPD1ayG/I4G7OQJEWTDwZG3QxR78eLFQn3P++67T55//nlHPgc3bQAZhF2XXZOkIjM+STQ0/IYLds26Joih2bFDIJojPky0zwU7Z+aYygjYoknOWDdR0pvVkdqNaqhWueutTdcESQI74xaPUHCkZFmRIkU0x5yADOBoe1cH4aDy4y2hNQ4bNkxKly4tqamputj78fI+vZQBpE/F6buTATKffvqprF+/XsnkkZGREhsfqyCJHzGnKkCAI9Hq0fOGSe1GNaVZu8YKfnyWm2bI5+xFTeCmaZuGetyU1eNyNLc5P5opPstajWpIdGy0ao61atXSqtFEL62ZBHCvTJgwQX3pbD1iFcVtTOSLBABJQGfZsmVCVRRAEjJ5gxbpsnjvHCV9u0xel08QfmO1G1OlbrPaqg3uOJPpEY1n86tr1GSuWT9N6t9cVzN6soOwC3ynrhkvqXWqKjhyP9zXs88+q76mfBGCndRxEnDtFU+mGP5o8rKd2kyDDPKew9ymKjM+HXhl+CMpGdaoZT2lAAFcgCRmLwEToslVa1eWmZmTBHB0Aagn72iSU1aP16AOIEmkO/v5CeoQDWf3Qcxq7geOm1XlCfJBFKDbg77Gy8nNANIBvQdIfv7557Jq1SqpUKGCghMUoMa31pfFe+cKPkNMZPyNEMCJVhPBzs2szg0s91zYrIVtJ60cI3Wb1pa6zesoLQhNEuAEHOFnusARKg/FUc3n6IBB5MdbZDxA7yF7ioCNkwsiG0D6ceDk5VJQJy5fvixLly5VChDmLTsCoukNeOoRqdkgTRq2rCeAG9Hp6wVHF2hyHGXKqFHZ4JZ0Sb/pRuVR3tiktsTExWhudVpammqOTiYA56Uv7NhrSwCLgsW8Z8+e0rdvXzWzr31E8H5rABm8ffOLOwMk0STnz58v5cuXFyLIUGySyiTptrKAGgEZl1nsAj1v3je+skpGzRuqe3onl0lSEjigzHW3bdum9+F08+kXArYPfCIBothDhgyRkiVL6mJuudg+EaudxBMJYG5jvsyYMUPKlSunpdIolwZPctamKdflc7wWcKJJwrusWL2CkB/ONSCvE1VHQzBw9KS3QvM3LOLZaT4GkKE5DgLy1AATPp5PPvlE5s2bp1wzfIIxsdHS/LbGsnz/fK/NaxdgAo5PPzNdKUVoqPAwAcdNmzZp+iCarDWTQG4SwOd46dIlNa2PHz8uH330UW4/DfrPzcQO+i7K+QapSs6m7DNnzpSyZctKZGSEUKWn5Z03ZwVuvKxMTjQccGzcqoHEJcQqz7FKlSqyevVquXLlimmOOXeHfZpNAizgMC+wNEgcIDPMqc0A0qk9J6JbN0Amf+qpp6RMmTLClrKQyVvf1VKWH5gvu91kxLg0Rtc76YNooAR+OA8ly/AjYSIZODp4oPj51q+OYgOWTm0GkE7tuR/vG3MXqs24ceOkVKlSypNk90BAcum+pz32SRLYWbRnjmbTQOUpVLiQ+jipDM358X1aMwl4IgE0RyyO3r17S79+/XRPeE+OC8bfGEAGY69cxz3hkwQkqb+HuU0VZ0qOxSfGya2dW8jK5xe69UkCjmTmYFbH3FBceY4pKSmycOFCrciCOW/NJOCpBMj+Gj58uDIeKGBCYM+pzQDSqT131X1Tc4+UrvHjx6smCQWoRMkS0u7uVmo251YUF58jmmPz25pIfGK8gitUHgJAONdNc7xK0PavWwmwWdfYsWOlevXqUr9+fQ3uuT0oSH9gABmkHePNbQGSRLdd5jZbH+BLvOO+drLqhYWy+/z/bt8AOGa8uFiatW0kcSViJSw8TBITE2XWrFmqkRo4etMLdgyBmdOnT8vWrVu1cPLFixcdKxQDSMd2Xc43jrnNCj506FBJSEhQc5kCF50euF3NbVdAhvcVB+ZrlXGK8kLlIdAzdepUPd6oPDnL1z51LwEXFQ3XDOPIyQutAaT7/nbULxicDEzM7YkTJypIhoUVVXO77d2tZNWhRVp0d+XBBdKi400SmxCrxS8Ax9mzZ6vmiCbKeayZBLyRAICYnebD9gtObQaQTu05N/fNoHznnXfk8ccfV5CMiAiXpNKJckePtlrp55aONyloEtABHKdPny7vv/++FZ5wI1f72r0EKHdGDUjSDUeOHCknT550f1CQ/sIAMkg7xhe3BUhCJh84cGCWJhkepvUkKYmGbxJwjIuL08DOu+++q4RejrGXySAvY4CiKoMHD9ZgIUkGFK7Iy/ny41isJE9MfwNIXyBRkJ4DM5mBwIClqkpMTIz6GnXv7SKFJT4+Xh555BGtXM4OhEePHtV9rNk6wV4mA2/HADVCO3bsKMWLF5ekpCRdoL09V34cd+DAATly5IiWYnM3dQ0g3UnI4d+7QJLc2BEjRuigJXebgTt69Gg5f/68ao6Y1926dRNK5NvLZJCXMQC1h2LKJC6QBgvdJy/n8/WxzZs3l06dOume3e6mtwGkOwkVkO/Jh71w4YL0799fmjZtKqNGjRLoF5gvgCgVWFhVKWVmL5NBQR4D27dvF7RIyrK5awaQ7iRUgL4HDAHCEydOaG415rer4Y+BksFn9jIZFOQx4KIfecLUMIB0IUQIvDMgKCTA4Oc9pwHCZ/YyGRT0MeDpdDeA9FRS9juTgEkg5CRgABlyXW4PbBIwCXgqAQNITyVlvzMJmARCTgIGkCHX5fbAJgGTgKcSMID0VFL2O5OASSDkJGAAGXJdbg9sEjAJeCoBA0hPJWW/MwmYBEJOAgaQIdfl9sAmAZOApxIwgPRUUvY7k4BJIOQk8P9GPr59M6G3bQAAAABJRU5ErkJggg==[/img][br]
Find the area of this shape. Show your reasoning.
On the grid, sketch two different parallelograms that have equal area. Label a base and height of each and explain how you know the areas are the same.

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