Question

The length of a rectangle is 4 inches more than its width. If 2 inches are taken from the length and added to the width, the figure becomes a square with an area of 272.25 sq inches. If the width of the rectangle is x, what is the length of the rectangle in terms of x?

Answer 1

L = W+4 (the length is 4 inches more than length (given))

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L-2 (if 2 inches are taken from L) and added to the width (W+2) the figure becomes a square.

A square has 4 equal sides.

L-2 = W+2

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We are told the area of the square is 272.25.

(L-2)(X+2) = 272.25

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Substituting from L = W+4

(l+4 -2)(w+ 2) = 272.25

(w+2)(w+2) = 272.25

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Taking the square root

(W+2) = sqrt(272.25) = 16.5

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Subtracting 2 from both sides

W = 12

and

L = W+4 = 16

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Is the length 4 more than width? Yes.

If you subtract 2 from length and add 2 to width, and then multiply them, is the result 272.25? Yes.

Done. kindlyrecheck=)

sry if something's wrong ^_^