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Perimeter = 2*L + 2*W

Area = L*W

L = Area / W

Perimeter = 2*Area / W + 2*W

W * Perimeter = 2*Area + 2*W^2

Let A=area, and P= perimeter.

0=2W^2-PW+2A

Quadratic formula:

W= (P + root(P^2-16A))/4

or

W= (P - root(P^2-16A))/4

Once you have W,

L is simply A/W.

Have fun, and maybe include some numbers to work with next time.

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Q: How do you find the length and wide of an area if you know the perimeter and an area?
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