The length of a rectangle is three times its width.If the perimeter is 80 feet, what are the dimensi | MathCelebrity Forum

The length of a rectangle is three times its width.If the perimeter is 80 feet, what are the dimensi

math_celebrity

Administrator
Staff member
The length of a rectangle is three times its width.If the perimeter is 80 feet, what are the dimensions?

We're given 2 equations:
  1. l = 3w
  2. P = 80 = 2l + 2w = 80
Substitute (1) into (2) for l:
2(3w) + 2w = 80
6w + 2w = 80
8w = 80

Divide each side by 8:
8w/8 = 80/8
w = 10

Substitute w = 10 into (1)
l = 3(10)
l = 30
 
Back
Top