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

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A rectangular room is 3 times as long as it is wide, and its perimeter is 56 meters. Find the dimension of the room.

We're given:
l = 3w

The Perimeter (P) of a rectangle is:
P = 2l + 2w

With P = 56, 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 search engine and we get:
w = 7

Now we plug w = 7 into equation (1) above to solve for l:
l = 3(7)
l = 21