SOLUTION: The width of a rectangle is one-fourth the length. The perimeter of the rectangle is one hundred thirty feet. What is the width of the rectangle?

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Question 37749: The width of a rectangle is one-fourth the length. The perimeter of the rectangle is one hundred thirty feet. What is the width of the rectangle?
Answer by fractalier(6550)   (Show Source): You can put this solution on YOUR website!
We have W = (1/4)L
The area A = LW = 130.
Substituting we have
L((1/4)L) = 130
(1/4)L^2 = 130
L^2 = 520
and
L = sqrt(520) = 2(sqrt(130))
Since W = (1/4)L, we have
W = L/4 = (1/2)sqrt(130)

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