The dimensions of a square are altered so that one dimension is increased by 7 feet, while the other is decreased by 2 feet. The are of the

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The dimensions of a square are altered so that one dimension is increased by 7 feet, while the other is decreased by 2 feet. The are of the resulting rectangle is 90ft^2. Find the original area of the square.

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  2. Answer:

    64 ft^2

    Step-by-step explanation:

    (x+7)(x-2)=90

    x^2-2x+7x-14=90

    x^2+5x-104=0

    factor

    (x+13)(x-8)=0

    x=-13

    x=8 ft original square side

    area=8×8=64

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