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

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 dimensions of the room.

We're given two items:
  • l = 3w
  • P = 56
We know the perimeter of a rectangle is:
2l + 2w = P

We plug in the given values l = 3w and P = 56 to get:
2(3w) + 2w = 56
6w + 2w = 56

To solve for w, we plug this equation into our search engine and we get:
w = 7

To solve for l, we plug in w = 7 that we just found into the given equation l = 3w:
l = 3(7)
l = 21

So our dimensions length (l) and width (w) are:
(l, w) = (21, 7)
 
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