Math

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A Quadratic Word Problem
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 -

    a = length of one side of the square

    W = Rectangle width

    H = Rectangle height

    A = Rectangle area


    W = a + 2

    H = a - 2


    A = W * H

    A = ( a + 2 ) * ( a - 2 ) = 32

    32 = a ^ 2 + 2 a - 2 a - 4

    32 = a ^ - 4 Add 4 to both sides

    32 + 4 = a ^ - 4 + 4

    36 = a ^ 2

    a = sqrt ( 36 ) = 6


    The length of one side of the square = 6 in

  • Math -

    6 inch

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