The length of a room is 5 feet less than triple its width. The perimeter of the room is 54 feet. What is the length of the room

Question

The problem is a word problem.

Answer 1

P=2l+2w

w=width

3w-5=length

54=2(3w-5)+2w

54=6w-10+2w

54=8w-10

54+10=8w

64=8w

w=64/8

w=8 feet

l=3(8)-5=24-5=19 feet

 

 

Answer 2

We have the width, x, the length, 3x-5, and the perimeter, 54 feet. We simple add the lengths and widths, then set it equal to the perimeter.

 Solve for the width, x.

54=(3x-5)+(3x-5)+x+x

 

Now we know the width, we can find the length.

 

L=3x-5