SOLUTION: THE DIAGONAL OF A FIELD IS 17 meters and its perimeter is 46 meters . what is the area of the field.

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Question 1018515: THE DIAGONAL OF A FIELD IS 17 meters and its perimeter is 46 meters . what is the area of the field.
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
L+W=23
sqrt%28%28L%5E2%29%2B%28W%5E2%29%29=17
Substitute that W=23-L
sqrt%28%28L%5E2%29%2B%28%2823-L%29%5E2%29%29=17
sqrt%28%28L%5E2%29%2B%28L%5E2%29-46L%2B529%29=17

sqrt%28%282L%5E2-46L%2B529%29%29=17

2L%5E2-46L%2B529=289

2L%5E2-46L%2B240=0

L%5E2-23L%2B120=0
%28L-8%29%28L-15%29=0
L is either 8 or 15, and W is either 15 or 8, in other words, the 2 sides are 8 and 15