SOLUTION: A rectangle has a length of 12 inches more than three times its height. If the perimeter of a rectangle is 400 inches, find its dimensions.

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Question 993675: A rectangle has a length of 12 inches more than three times its height. If the perimeter of a rectangle is 400 inches, find its dimensions.
Answer by fractalier(6550) About Me  (Show Source):
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L = 12 + 3H
P = 2L + 2H = 400
Substitute for L in the second equation and get
2(12 + 3H) + 2H = 400
24 + 6H + 2H = 400
8H + 24 = 400
8H = 376
H = 47
L = 12 + 3(47) = 153