SOLUTION: The perimeter of a rectangle is 240 inches. The length is twice it's width. find the dimensions of the rectangle.

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Question 5688: The perimeter of a rectangle is 240 inches. The length is twice it's width. find the dimensions of the rectangle.
Answer by prince_abubu(198) About Me  (Show Source):
You can put this solution on YOUR website!
Let's start with Perimeter Formula for a rectangle: P = 2L + 2W.

They told us that the perimeter is 240, so 2L + 2W = 240.

"The length is twice the width." Since the length is obviously longer as mentioned, we need to double the (shorter) width to equal the length, so L = 2W

Substitute 2W for L in the perimeter equation so that you'll only be solving for 1 unknown variable. 2(2W) + 2W = 240.

4W + 2W = 240

6W = 240

W = 40 inches.

We've got to find the length now. Since the length is double the width, the length would be 80 inches.

So the dimensions would be Width = 40 inches and Length = 80 inches.