SOLUTION: A rug is shaped like a rectangle whose perimeter is 112 ft. The length is 3 times as long as width. Find the length and the width.

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Question 1081789: A rug is shaped like a rectangle whose perimeter is 112 ft. The length is 3 times as long as width. Find the length and the width.
Found 2 solutions by Alan3354, math_helper:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A rug is shaped like a rectangle whose perimeter is 112 ft. The length is 3 times as long as width. Find the length and the width.
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P = 2W + 2L = 112
W + L = 56
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W + L = 56
L = 3W

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
L = 3W
2L + 2W = 112 ft
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Subs top eqn into bottom:
2(3W) + 2W = 112
8W = 112
W = 14 —> L = 3(14) = 42
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Ans: highlight%28+W+=+14%29 ft and +highlight%28L+=+42%29+ ft
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Check: 2(14) + 2(42) = 28 + 84 = 112 (ok)