# SOLUTION: how do you solve the following If the area of a rectangle is 13 1/2 units and the length of one of the sides is 1/5 the perimeter what are the values of length and width and how?

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 Question 609137: how do you solve the following If the area of a rectangle is 13 1/2 units and the length of one of the sides is 1/5 the perimeter what are the values of length and width and how? Thanks so very much.Answer by ankor@dixie-net.com(15638)   (Show Source): You can put this solution on YOUR website!: solve the following If the area of a rectangle is 13 1/2 units and the length of one of the sides is 1/5 the perimeter what are the values of length and width and how? : "the area of a rectangle is 13 1/2 units" L*W = 13.5 L = : "the length of one of the sides is 1/5 the perimeter" L = .2(2L + 2W) L = .4L + .4W L - .4L = .4W .6L = .4W Replace L with .6() = .4W : Multiply both side by W .6(13.5) = .4W^2 8.1 = .4W^2 Divide both sides by .4 20.25 = W^2 W = W = 4.5 is the width then = 3 units is the length : what are the values of length and width and how? Width = 4.5, length = 3 : : See if that checks out 3 = .2(2(3)+2(4.5)) 3 = .2(15); checks out