SOLUTION: the perimeter of a rectangle plot is 68m and the length of its diagonal is 26m what is the area?

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Question 352018: the perimeter of a rectangle plot is 68m and the length of its diagonal is 26m what is the area?
Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
Perimeter = P = 2L + 2W = 68
so L + W = 34, or
W = 34 - L.
The diagonal is 26, and so by the Pythagorean Theorem,

By direct substituion,





This means L = 24, or L =10. Since we usually take the longer value value to be the length, L = 24, and from this W = 10.

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