SOLUTION: If two opposite sides of a square are increased by 10 meters and the other sides are decreased by 2 meters, the area of the rectangle that is formed is 85 square meters. Find the a

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Question 1121944: If two opposite sides of a square are increased by 10 meters and the other sides are decreased by 2 meters, the area of the rectangle that is formed is 85 square meters. Find the area of the original square.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
x, length of side of original square

%28x%2B10%29%28x-2%29=85
You can use algebra if you want to --- quadratic equation.

Alternatively, note that the two factors differ by 12. Can you find two factor whose difference is 12 and whose product is 85?
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system%28x%2B10=17%2Cand%2Cx-2=5%29
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