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If one side of a square is increased by 2 inches and an adjacent side is decreased by 2 inches, the area of the resulting rectangle is 32 square inches. Find the length of one side of the square.

  • Math -

    (x+2)(x-2) = 32
    x^2 - 4 = 32
    x^2 = 36
    x = ±6 , but x is a side of a square so it must be positive

    x = 6

    The original square was 6 by 6
    the new square is 4 by 8


    and 4(8) = 32, answer is correct

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