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# A rectangle with positive area has length represented by the expression

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A rectangle with positive area has length represented by the expression 3x+ 2x - 4 and width by x2 +1. Write expressions in terms of x for the perimeter and area of the rectangle. Give your answers in standard polynomial form and show your work.

Jun 3, 2018
edited by GAMEMASTERX40  Jun 3, 2018

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Area: length*width

Perimeter= 2l+2w

So, for the area, we have: $$3x^2+2x-4*x^2+1=-x^2+2x+1$$

And, for the perimeter, we have: $$2\left(3x^2+2x-4\right)\cdot \:2\left(x^2+1\right)=4\left(3x^2+2x-4\right)\left(x^2+1\right)$$

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Jun 3, 2018
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A rectangle with positive area has length represented by the expression 3x2 + 2x - 4 and width by x2 +1. Write expressions in terms of x for the perimeter and area of the rectangle. Give your answers in standard polynomial form and show your work.

Jun 3, 2018