SOLUTION: A rectangularwalkway is 18 feet longer than it is wide. If the area of the walkway is 88 squarefeet, find the length and the width. Is this the correct formula? (L x W) + 18 =

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Question 340289: A rectangularwalkway is 18 feet longer than it is wide. If the area of the walkway is 88 squarefeet, find the length and the width.
Is this the correct formula?
(L x W) + 18 = 88

Answer by nerdybill(7384) About Me  (Show Source):
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A rectangular walkway is 18 feet longer than it is wide. If the area of the walkway is 88 squarefeet, find the length and the width.
Is this the correct formula? NO
(L x W) + 18 = 88
.
Let w = width
then from "walkway is 18 feet longer than it is wide" we get:
w+18 = length
.
w(w+18) = 88
w^2+18w = 88
w^2+18w-88 = 0
factoring the left:
(w-4)(w+22) = 0
w = {4, -22}
throw out the negative result, leaving:
w = 4 feet (width)
.
Length:
w+18 = 4+18 = 22 feet (length)