math trouble please help

Question

A rectangle has a length of feet less than times its width. If the area of the rectangle is square feet, find the length of the rectangle.

Answer 1

THe rectangle has a length of n feet less than K times with width. The area is A square feet. You must tell us what are A, N and k.

L = kw - N

The area is A = length*width = (kw-N)*w

A = kw^2 - Nw <-- quadratic in terms of w

kw^2 - Nw - A = 0 <--- solves via quadratic formula

w = [N +or- sqrt ( N^2+ 4kA)] / (2k)

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