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ddmoorehouseov75lc
13.07.2019 •
Mathematics
Find the area and perimeter of the following rectangle. the lengths are 4x+y+2; and 3x+3y. the widths are 2x+y+1 and 12
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Ответ:
Equating the lengths, we have:![4x+y+2=3x+3y\Rightarrow x-2y=-2](/tpl/images/0086/4570/91090.png)
Equating the widths, we have:![2x+y+1=12\Rightarrow2x+y=11](/tpl/images/0086/4570/d2e4d.png)
Solving the two equations simultaneously gives that x = 4 and y = 3.
Thus, the length is 4(4) + 3 + 2 = 21 and the width is 12.
Therefore area = length times width = 21 x 12 = 252 square units
perimeter = 2(length + width) = 2(21 + 12) = 2(33) = 66.
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i.dk
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