SOLUTION: please help me solve for this The sides of a square are altered so that one is increased by 3 and the other is decreased by 1. The area of the new shape is 32 ft2. What was the are
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Question 944088: please help me solve for this The sides of a square are altered so that one is increased by 3 and the other is decreased by 1. The area of the new shape is 32 ft2. What was the area of the original square?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
please help me solve for this The sides of a square are altered so that one is increased by 3 and the other is decreased by 1. The area of the new shape is 32 ft2. What was the area of the original square?
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Original dimensions of the square:: x by x
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Equation::
(x+3)(x-1) = 32
x^2 + 2x -3 = 32
x^2 + 2x - 35 = 0
Factor:
(x+7)(x-5) = 0
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Positive solution::
x = 5
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Ans: Original dimensions:: 5 ft by 5ft
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Cheers,
Stan H.
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