The sides of a rectangle are x and 3-2x.Express the rectangle's area as a function of x.Express the rectangle's perimeter as a function of x. Explain why x cannot equal 2.

Question

Area= L x W
A= x (3-2x)
A= 2x^2 + 3x

Perimeter= 2(L + W)
P= 2(x+3-2x)
P= 2(3-x)
P= 6-2x

Would saying that there can't be a negative side (-2), be correct?

Answer 1

A = x(3-2x) = 3x-2x^2
P is ok

your conclusion is correct, except that 3-2x = -1 when x is 2.

Answer 2

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Answer 3

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