SOLUTION: If two opposite sides of a square are increased by 15 meters and the other sides are decreased by 8 meters, the area of the rectangle that is formed is 78 square meters. Find the a

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Question 988978: If two opposite sides of a square are increased by 15 meters and the other sides are decreased by 8 meters, the area of the rectangle that is formed is 78 square meters. Find the area of the original square.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If two opposite sides of a square are increased by 15 meters and the other sides are decreased by 8 meters, the area of the rectangle that is formed is 78 square meters. Find the area of the original square.
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Let the square be x by x::
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Equation:
New rectangle area = (x+15)(x-8) = 78
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x^2 + 7x - 198 = 0
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x = 11
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Ans: Area of original square = 11^2 = 121 sq meters
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Cheers,
Stan H.
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