SOLUTION: A rectangular lawn of length (x+5) meters is ( x-2) meters wide. If the diagonal is (x+6) meters, find the dimension of the lawn.

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Question 1057666: A rectangular lawn of length (x+5) meters is ( x-2) meters wide. If the diagonal is (x+6) meters, find the dimension of the lawn.
Answer by ikleyn(52803) About Me  (Show Source):
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A rectangular lawn of length (x+5) meters is ( x-2) meters wide. If the diagonal is (x+6) meters, find the dimension of the lawn.
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%28x%2B5%29%5E2 + %28x-2%29%5E2 = %28x%2B6%29%5E2.

Solve for x.

x%5E2+%2B+10x+%2B+25+%2B+x%5E2+-+4x+%2B+4 = x%5E2+%2B+12x+%2B+36,

x%5E2+-6x+-7 = 0,

(x-7)*(x+1) = 0,

The positive root is x = 7.

Answer.  The dimensions are 12 and 5 meters.