Allan built an additional room onto his house. The length of the room is 3 times the width. The peri | MathCelebrity Forum

Allan built an additional room onto his house. The length of the room is 3 times the width. The peri

math_celebrity

Administrator
Staff member
Allan built an additional room onto his house. The length of the room is 3 times the width. The perimeter of the room is 60 feet. What is the length of the room

A room is a rectangle. We know the perimeter of a rectangle is:
P = 2l + 2w

We're given two equations:
  1. l = 3w
  2. P = 60
Plug (1) and (2) into our rectangle perimeter formula:
2(3w) + w = 60
6w + w = 60

Type this equation into our search engine to solve for w:
w = 8.5714

Now plug w = 8.5714 into equation 1 to solve for l:
l = 3(8.5714)
l = 25.7142
 
Back
Top