A rectangular room is 3 times as long as it is wide, and its perimeter is 64 meters. Find the dimens

A rectangular room is 3 times as long as it is wide, and its perimeter is 64 meters. Find the dimension of the room.

We're given:

• l = 3w
• P = 64

We also know the perimeter of a rectangle is:
2l + 2w = P

We plugin l = 3w and P = 64 into the perimeter equation:
2(3w) + 2w = 64

Multiply through to remove the parentheses:
6w + 2w = 64

To solve this equation for w, we type it in our search engine and we get:
w = 8

To solve for l, we plug w = 8 into the l = 3w equation above:
l = 3(8)
l = 24