SOLUTION: the length is the rectangle is 7ft less than four times its width. If the area is 36ft^2, what are the dimensions?

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Question 748289: the length is the rectangle is 7ft less than four times its width. If the area is 36ft^2, what are the dimensions?
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
width = w
length = 4w - 7

w(4w - 7) = 36
4w^2 - 7w - 36 = 0
(w - 4)(4w + 9) = 0
w = 4, w = -9/4

Distance is positive, so the rectangle is 4 ft wide and 9 ft long.