SOLUTION: Determine the length and width of a rectangle with a perimeter of 82 inches and a diagonal of 29 inches.

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Question 316014: Determine the length and width of a rectangle with a perimeter of 82 inches and a diagonal of 29 inches.
Answer by jim_thompson5910(35256) About Me  (Show Source):
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Hint: Let W = width and L = length. The perimeter of a rectangle is P+=+2L%2B2W. Plug in P=82 to get 82=2L%2B2W. The diagonal 'd' can be obtained through the Pythagorean theorem, which means that d%5E2=L%5E2%2BW%5E2. Plug in d=29 (the given diagonal length) to get 29%5E2=L%5E2%2BW%5E2. So at this point, you have two equations with two unknowns.