SOLUTION: The length of a rectangle is five times its width. If the perimeter of the rectangle is 96cm,find its area.

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Question 599120: The length of a rectangle is five times its width.
If the perimeter of the rectangle is 96cm,find its area.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
P = 2(L+W)

96 = 2(5W + W)

96/2 = 6W

48 = 6W

48/6 = W

8 = W

W = 8

So the width is 8 cm


L = 5W

L = 5(8)

L = 40

and the length is 40 cm


A = LW

A = 40*8

A = 320

So the area is 320 square centimeters.