SOLUTION: The ratio of length to width in a rectangle is 3 to 1. If the perimeter of the rectangle is 128 feet, what is the length of the rectangle?

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Question 934471: The ratio of length to width in a rectangle is 3 to 1. If the perimeter of the rectangle is 128 feet, what is the length of the rectangle?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Perimeter of a rectangle is:
P=2L+%2B+2W
For this question
2L+%2B+2W+=+128
Dividing throughout by 2 we get
L%2BW=+64
So L+=+64-W
since given that length is 3 times the width
L+=+3W, substitute it in L+=+64-W
3W=+64-W
3W+%2BW+=+64
4W+=+64
W+=+64%2F4+
W+=+16
width is 16 feet, then the length will be
L+=+3W
L=+3%2816feet%29
L=+48feet+