A rectangular room is 3 times as long as it is wide, and its perimeter is 56 meters

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A rectangular room is 3 times as long as it is wide, and its perimeter is 56 meters

Given l = length and w = width, The perimeter of a rectangle is 2l + 2w, we have:

1. l = 3w
2. 2l + 2w = 56

Substitute equation (1) into equation (2) for l:
2(3w) + 2w = 56
6w + 2w = 56

To solve this equation for w, we type it in our math engine and we get:
w = 7

To solve for l, we substitute w = 7 into equation (1):
l = 3(7)
l = 21