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.

We're given the following:

• l = 3w

We know the Perimeter (P) of a rectangle is:
P = 2l + 2w

Substituting l = 3w and P = 56 into this equation, we get:
2(3w) + 2w = 56

Multiplying through, we get:
6w + 2w = 56
(6 +2)w = 56
8w = 56

Typing this equation into our search engine, we get:
w = 7

Substitute w = 7 into l = 3w, we get:
l = 3(7)
l = 21