[size=150]A rectangle has a width of 4 units and a length of [math]m[/math] units. Write an expression for the area of this rectangle.[/size]
[size=150]What is the area of the rectangle if [math]m[/math] is:[br][br][size=100]3 units?[/size][/size]
[math]\frac{1}{5}[/math] unit?
[size=150]Could the area of this rectangle be 11 square units? Why or why not?[/size]
[size=150]Here are two rectangles. The length and width of one rectangle are 8 and 5. The width of the other rectangle is 5, but its length is unknown so we labeled it [math]x[/math].[br][br][img]data:image/png;base64,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[/img][br][br][size=100]Write an expression for the sum of the areas of the two rectangles.[/size][/size]
[size=150]The two rectangles can be composed into one larger rectangle as shown.[/size][br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAfEAAADXCAYAAAAKsGjiAAAXGklEQVR4Ae2deYhV1R/Ap5wZU7P1j8oWR7OsRinSKVuwsiFTqglKtKayJm1RKzJLGNEciixCCqIFKkikqDBLo4w2iciCNg1atJKU1CizhcKlGb8/znm94dds7815592zfR4M47x3zznf7+f7vX7mvrnv3grhAQEIQAACEIBAkAQqgoyaoCEAAQhAAAIQECROE0AAAhCAAAQCJYDEAy0cYUMAAhCAAASQOD0AAQhAQER27Nghjz76qJx33nly4IEHSkVFhf5eX18vS5YskV9++QVOEPCOABL3riQEBAEIZE3g22+/lUsvvVSqq6tl6NChcsMNN8jChQvl+uuvl6OOOkoL/aqrrpJvvvkm69BYDwI9EkDiPeLhRQhAIAUCd955pz7qvvrqqzuJesOGDXLhhRdK37595fHHH5e//vorBSTkGAgBJB5IoQgTAhAoD4Ht27dLQ0ODHHzwwfLKK690ucjixYv1Efmtt94qmzZt6nIbnoSACwJI3AV1gzXVb/9vv/22PPDAA/p7xyn++OMPWbFihdx7773y4osvdnyZnyEAgW4I5CV+2GGHyauvvtrlVupv5TU1NTJz5kz54YcfutyGJyHgggASd0HdYM09e/bIqlWrZL/99pPzzz9fdu/e3T7Lzp075eWXX5b9999fTjnlFPnss8/aX+MfEIBAYQKzZ8+WAw44QFpaWjqdwKb2r+uuu07vX7ydXpglW2RLAIlny7uk1TZu3CgXX3yxPvEmf8TQ2toqH3zwgQwePFiOPfbYbt8OLGlhBkMgcgJr166VcePGycCBA+WOO+5of8tcnZF+yy236Lfam5qaRJ0AxwMCPhFA4j5Vo0Asf//9tzz77LMyYMAAmTp1qt5anXSj/vMZNGiQPPLIIwVm4GUIQKA7Ap9++qlcdNFF+t2uo48+Wp+tPmzYMDn00ENlwYIF8uOPP3Y3lOch4IwAEneG3mzhr7/+Wk477TSpra2VN998U2bMmKGPEm6//XZRR+U8IAABMwLqT1RLly6VE088UX+kTH1OXH2NHz9e3n///f/8CctsBUZBwD4BJG6faVln/O2330SdKdu/f3/99rl6+2/SpEmijtJ5QAACZgTUyW3qF2J1kZcxY8bIypUr5Z133pHGxkb9S7J6/sEHHxS1HQ8I+EQAiftUjSJjWbdunf67eFVVlT7J7aeffipyJJtBAAIdCaiTRmfNmqVPXOvq796vvfaajBo1Sr/N/vDDD8vvv//ecQp+hoAzAkjcGXqzhdV/OG+99ZYcfvjhcsghh8jcuXPNJmIUBCCgCag/S40ePVrOOussWbNmTZdUli1bJiNGjNDbqRNJeUDAFwJI3JdKFBFHW1ub/viY+s9EHYWrE27q6uo44aYIdmwCge4IqLfJjzzySLnttttk8+bNXW6mrsOgPhnSr18/PgHSJSGedEUAibsib7Du999/LxMnTtRnos+fP1/mzJkjRxxxhDz00EMGszEEAhBQBO6//369T82bN0+2bdvWJRR10uhll12mr62ursnAAwK+EEDivlSiQBxbtmyRm266SQ466CB9xKDOpH3vvff0z+ecc478+eefBWbgZQhAoCsC6g5lw4cPl8mTJ8uXX37Z1SaizkMZO3asHH/88fLuu+92uQ1PQsAFASTugnov11S3SFRv+akbMEyYMEHfMlFNoS7/eOWVV8oxxxyjPxrTy2nZHAIQENEXdlH7lXqrXB2VdzwDXV3wZdq0afpCMFw7nZbxjQAS960iHeJRHx17/vnn9X8g6gzZ/79ilLoc5PLly/XHzdRFKviceAd4/AiBIgmoSxqfeuqp+nPhI0eO1Gerq1uR3njjjfooXZ2Dou5k9vnnnxc5I5tBIBsCSDwbzkarqLfM1Zmz6kz0IUOG6M+udpwof8W24447Tl9bvePr/AwBCBRHQJ1zct999+mz1NX1F9SFXtT9CM4++2x9NcStW7cWNxFbQSBDAkg8Q9gsBQEIQAACELBJAInbpMlcEIAABCAAgQwJIPEMYbMUBCAAAQhAwCYBJG6TJnNBAAIQgAAEMiSAxDOEzVIQgAAEIAABmwSQuE2azAUBCEAAAhDIkAASzxA2S0EAAhCAAARsEkDiNmkyFwQgAAEIQCBDAkg8Q9gsBQEIQAACELBJAInbpMlcEIAABCAAgQwJOJG4ui/2+vXr9V25rr32WuELBvQAPUAP0AMh9YC6//ymTZtk7969GSq781JOJL5r1y59YwF1bWK+YEAP0AP0AD0QYg+0tLSIuseFy4cTiau7bzU2NkplZaXU19eLulsQXzDIqgfmzJmjb3JRXV2tb26R1bqsQ4/TA3H0QF1dnfTp00eam5tFHZS6fDiVuLo/9qJFi1zmz9oJEti2bZvcdddd+g5V6jsPCEAAAr0hcPPNN4s6CEDiSLw3fcO2lgggcUsgmQYCiRJA4v++nc6ReKJ7gOO0kbjjArA8BAIngMSReOAtHHb4SDzs+hE9BFwTQOJI3HUPJr0+Ek+6/CQPgZIJIHEkXnITMYE5ASRuzo6REICACBJH4uwHDgkgcYfwWRoCERBA4kg8gjYONwUkHm7tiBwCPhBA4kjchz5MNgYknmzpSRwCVgggcSRupZGYxIwAEjfjxigIQCBHAIkjcfYFhwSQuEP4LA2BCAggcSQeQRuHmwISD7d2RA4BHwggcSTuQx8mGwMST7b0JA4BKwSQOBK30khMYkYAiZtxYxQEIJAjgMSROPuCQwJI3CF8loZABASQOBKPoI3DTQGJh1s7IoeADwSQOBL3oQ+TjQGJJ1t6EoeAFQJIHIlbaSQmMSOAxM24MQoCEMgRQOJInH3BIQEk7hA+S0MgAgJIHIlH0MbhpoDEw60dkUPABwJIHIn70IfJxoDEky09iUPACgEkjsStNBKTmBFA4mbcGAUBCOQIIHEkzr7gkAASdwifpSEQAQEkjsQjaONwU0Di4daOyCHgAwEkjsR96MNkY0DiyZaexCFghQASR+JWGolJzAggcTNujIIABHIEkDgSZ19wSACJO4TP0hCIgAASR+IRtHG4KSDxcGtH5BDwgQASR+I+9GGyMSDxZEtP4hCwQgCJI3ErjcQkZgSQuBk3RkEAAjkCSByJsy84JIDEHcJnaQhEQACJI/EI2jjcFJB4uLUjcgj4QACJI3Ef+jDZGJB4sqUncQhYIYDEkbiVRmISMwJI3IwboyAAgRwBJI7E2RccEkDiDuGzNAQiIIDEkXgEbRxuCkg83NoROQR8IIDEkbgPfZhsDEg82dKTOASsEEDiSNxKIzGJGQEkbsaNURCAQI4AEkfi7AsOCSBxh/BZGgIREEDiSDyCNg43BSQebu2IHAI+EEDiSNyHPkw2BiSebOlJHAJWCCBxJG6lkZjEjAASN+PGKAhAIEcAiSNx9gWHBJC4Q/gsDYEICCBxJB5BG4ebAhIPt3ZEDgEfCCBxJO5DHyYbAxJPtvQkDgErBJA4ErfSSExiRgCJm3FjFAQgkCOAxJE4+4JDAkjcIXyWhkAEBJA4Eo+gjcNNAYmHWzsih4APBJA4EvehD5ONAYknW3oSh4AVAkgciVtpJCYxI4DEzbgxCgIQyBFA4kicfcEhASTuED5LQyACAkgciUfQxuGmgMTDrR2RQ8AHAkgcifvQh8nGgMSTLT2JQ8AKASSOxK00EpOYEUDiZtwYBQEI5AggcSTOvuCQABJ3CJ+lIRABASSOxCNo43BTQOLh1o7IIeADASSOxH3ow2RjQOLJlp7EIWCFABJH4lYaiUnMCCBxM26MggAEcgSQOBJnX3BIAIk7hM/SEIiAABJH4hG0cbgpIPFwa0fkEPCBABJH4j70YbIxIPFkS0/iELBCAIkjcSuNxCRmBJC4GTdGQQACOQJIHImzLzgkgMQdwmdpCERAAIkj8QjaONwUkHi4tSNyCPhAAIkjcR/6MNkYkHiypSdxCFghgMSRuJVGYhIzAkjcjBujIACBHAEkjsTZFxwSQOIO4bM0BCIggMSReARtHG4KSDzc2hE5BHwggMSRuA99mGwMSDzZ0pM4BKwQQOJI3EojMYkZASRuxo1REIBAjgASR+LsCw4JIHGH8FkaAhEQQOJIPII2DjcFJB5u7YgcAj4QQOJI3Ic+TDYGJJ5s6UkcAlYIIHEkbqWRmMSMABI348YoCEAgRyAoiS9fvlwqKiq6/dp3332lqampV7XdicR7xYuN7RJA4nZ5MhsEUiNQqsRHjx4t++yzT7deVc797rvvisJa0dNWe/fulSeeeEIvNnHiRFm4cGGnr5aWFlmxYkVP03R6DYl3QsITGRJA4hnCZikIREigVInX1NRI//79ZcGCBZ2cmvfsr7/+WhS5ghK/5557RB1tL126tKgJi9kIiRdDiW3KRQCJl4ss80IgDQKlSnzAgAEyZMgQ2bNnT8nACkp85syZWuJvvPFGyYvlJ0DieRJ8d0EAibugzpoQiIdAKRL/+eefpbq6Wk4//XT5559/SoZSUOKTJk3SEv/oo49KXiw/ARLPk+C7CwJI3AV11oRAPARKkfhXX30lVVVVMn78+GwkXl9fryW+fv16axVA4tZQMpEBASRuAI0hEIBAO4FSJL5mzRot8SlTpkhra2v7nKb/KHgkfvLJJ2uJ79ixw3SNTuOQeCckPJEhASSeIWyWgkCEBEqRuDoRvLKyUmbNmpWNxAcNGqTPTj/33HP1d3VavPoaMWKEqEQ2btzY6xIh8V4jY4BFAkjcIkymgkCCBEqR+FNPPaUlrk5sGzx4cLtX1dnqEyZMkKefflrUJ8OKfRQ8El+8eLGot9Svueaa9lPhZ8yYISeddJL+jNvAgQPlmWeeKXY9vR0S7xUuNrZMAIlbBsp0EEiMQCkSVwe+l19+ufbqvHnz2r16ySWX6I+dqc+IjxkzRqx8xKynurS1tcljjz2mRa5+g/jiiy962vw/ryHx/+Dgh4wJIPGMgbMcBCIjUIrEe0KxdetWqaur00fn6qTyYo7IezwS72kx9Zr6o/y0adOkT58+oo7Oi30g8WJJsV05CCDxclBlTgikQ6BcElcEN2/eLH379tUHyFu2bCkItSSJq6PxlStX6hPfxo4dW3Cx/AZIPE+C7y4IIHEX1FkTAvEQKKfEFaUzzzxTS/z1118vCK0kiatD/dWrV2uJn3HGGQUXy2+AxPMk+O6CABJ3QZ01IRAPgXJL/IILLtBvqauD5EKPkiSujsSfe+45LXH1R/liH0i8WFJsVw4CSLwcVJkTAukQKLfER44cqY/EP/zww4JQS5K4umRcQ0ODPl1e3Sil2AcSL5YU25WDABIvB1XmhEA6BMop8XXr1ukDY/Xx7mKurd6jxD/55BPp7nKr6ii8ublZH/IPHz5clJiLfSDxYkmxXTkIIPFyUGVOCKRDoBSJv/DCC7J9+/YuzzxXV0YdNmyY9qo6MC757PQlS5boQ/qhQ4eKOt09f4u06dOni3pOXfSltrZWNmzY0KvqIfFe4WJjywSQuGWgTAeBxAiUIvETTjhBu3PcuHEye/bsdq+q233n7zF+9913FyVwhb3HI3F1evvcuXP1h9LVZ8HzV2tTt1FTf3h/8skne3UEnq8zEs+T4LsLAkjcBXXWhEA8BEqR+LJly2Ty5Mn6qqd5p+YPiJuammTt2rVFC1wR7VHi5UKOxMtFlnmLIYDEi6HENhCAQHcESpF4d3OaPo/ETckxLlgCSDzY0hE4BLwggMR37pTGxkZ9VZpFixZ5URSCSIcAEk+n1mQKgXIQQOJIvBx9xZxFEkDiRYJiMwhAoEsCSByJd9kYPJkNASSeDWdWgUCsBJA4Eo+1t4PIC4kHUSaChIC3BJA4Eve2OVMIDImnUGVyhED5CCBxJF6+7mLmggSQeEFEbAABCPRAAIkj8R7ag5fKTQCJl5sw80MgbgJIHInH3eGeZ4fEPS8Q4UHAcwJIHIl73qJxh4fE464v2UGg3ASQOBIvd48xfw8EkHgPcHgJAhAoSACJI/GCTcIG5SOAxMvHlpkhkAIBJI7EU+hzb3NE4t6WhsAgEAQBJI7Eg2jUWINE4rFWlrwgkA0BJI7Es+k0VumSABLvEgtPQgACRRJA4ki8yFZhs3IQQOLloMqcEEiHABJH4ul0u4eZInEPi0JIEAiIABJH4gG1a3yhIvH4akpGEMiSABJH4ln2G2t1IIDEOwDhRwhAoFcEkDgS71XDsLFdAkjcLk9mg0BqBJA4Ek+t573KF4l7VQ6CgUBwBJA4Eg+uaWMKGInHVE1ygUD2BJA4Es++61ixnQASb0fBPyAAAQMCSByJG7QNQ2wRQOK2SDIPBNIkgMSReJqd70nWSNyTQhAGBAIlgMSReKCtG0fYSDyOOpIFBFwRQOJI3FXvsa6IIHHaAAIQKIUAEkfipfQPY0skgMRLBMhwCCROAIkj8cR3AbfpI3G3/FkdAqETQOJIPPQeDjp+JB50+QgeAs4JIHEk7rwJUw4AiadcfXKHQOkEkDgSL72LmMGYABI3RsdACEBARJA4EmdHcEgAiTuEz9IQiIAAEkfiEbRxuCkg8XBrR+QQ8IEAEkfiPvRhsjEg8WRLT+IQsEIAiSNxK43EJGYEkLgZN0ZBAAI5AkgcibMvOCSAxB3CZ2kIREAAiSPxCNo43BSQeLi1I3II+EAAiSNxH/ow2RiQeLKlJ3EIWCGAxJG4lUZiEjMCSNyMG6MgAIEcASSOxNkXHBJA4g7hszQEIiCAxJF4BG0cbgpIPNzaETkEfCCAxJG4D32YbAxIPNnSkzgErBBA4kjcSiMxiRkBJG7GjVEQgECOABJH4uwLDgkgcYfwWRoCERBA4kg8gjYONwUkHm7tiBwCPhBA4kjchz5MNgYknmzpSRwCVgggcSRupZGYxIwAEjfjxigIQCBHAIkjcfYFhwSQuEP4LA2BCAggcSQeQRuHmwISD7d2RA4BHwggcSTuQx8mGwMST7b0JA4BKwSQOBK30khMYkYAiZtxYxQEIJAjgMSROPuCQwJI3CF8loZABASQOBKPoI3DTQGJh1s7IoeADwSQOBL3oQ+TjQGJJ1t6EoeAFQJIHIlbaSQmMSOAxM24MQoCEMgRQOJInH3BIQEk7hA+S0MgAgJIHIlH0MbhpoDEw60dkUPABwJIHIn70IfJxoDEky09iUPACgEkjsStNBKTmBFA4mbcGAUBCOQIIHEkzr7gkAASdwifpSEQAQEkjsQjaONwU0Di4daOyCHgAwEkjsR96MNkY0DiyZaexCFghQASR+JWGolJzAggcTNujIIABHIEkDgSZ19wSACJO4TP0hCIgAASR+IRtHG4KSDxcGtH5BDwgQASR+I+9GGyMSDxZEtP4hCwQgCJI3ErjcQkZgSQuBk3RkEAAjkCSByJsy84JIDEHcJnaQhEQACJI/EI2jjcFJB4uLUjcgj4QACJI3Ef+jDZGJB4sqUncQhYIYDEkbiVRmISMwJI3IwboyAAgRwBJI7E2RccEkDiDuGzNAQiIIDEkXgEbRxuCkg83NoROQR8IIDE/5V4VVWVTJ8+XVavXs0XDDLrgZdeekmmTJki/fr1kyuuuCKzdelz9nN6II4eaGhokMrKSmlubpZdu3Y5/b2iwsXqKumpU6dKRUUFXzCgB+gBeoAeCLIH5s+fL7t373ah0fY1nUi8tbVVVq1aJbW1tVJTU8MXDOgBeoAeoAeC6oFRo0bJxx9/LG1tbe1CdfEPJxJ3kShrQgACEIAABGIjgMRjqyj5QAACEIBAMgSQeDKlJlEIQAACEIiNABKPraLkAwEIQAACyRBA4smUmkQhAAEIQCA2Akg8toqSDwQgAAEIJEMAiSdTahKFAAQgAIHYCCDx2CpKPhCAAAQgkAwBJJ5MqUkUAhCAAARiI4DEY6so+UAAAhCAQDIE/gfgGTvpjbuxCAAAAABJRU5ErkJggg==[/img][br][br]What are the width and length of the new, large rectangle?
Write an expression for the total area of the large rectangle as the product of its width and its length.
[img]data:image/png;base64,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[/img][br][br]Find the lengths [math]w[/math], [math]x[/math], [math]y[/math], and [math]z[/math], and the area [math]A[/math]. All values are whole numbers.
Can you find another set of lengths that will work?
How many possibilities are there?