Math

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The length of a rectangle is 6 inches less than 3 times its width. Find the dimensions of the rectangle if its area is 45 square inches.

  • Math -

    W = X in.
    L = (3x - 6) in.

    A = L*W = (3x-6)X = 45,
    3x^2 - 6x = 45
    3x(x-2) = 45,
    x(x-2) = 15,
    x^2 - 2x - 15 = 0
    (x-5)(x+3) = 0,
    x-5 = 0,
    x = 5 in.

    x+3 = 0,
    x = -3.

    Solution Set: x = 5, and x = -3.

    Select + value of X:
    x = 5

    W = x = 5 in.
    L = 3x-6 = 3*5 - 6 = 9 in.

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