The length of a rectangle is equal to triple the width. Find the length of the rectangle if the peri | MathCelebrity Forum

The length of a rectangle is equal to triple the width. Find the length of the rectangle if the peri

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The length of a rectangle is equal to triple the width. Find the length of the rectangle if the perimeter is 80 inches.

The perimeter (P) of a rectangle is:
2l + 2w = P

We're given two equations:
  1. l = 3w
  2. 2l + 2w = 80
We substitute equation 1 into equation 2 for l:
2(3w) + 2w = 80
6w + 2w = 80

To solve this equation for w, we type it in our search engine and we get:
w = 10

To solve for the length (l), we substitute w = 10 into equation 1 above:
l = 3(10)
l = 30
 
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