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math

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The diagonal of a rectangular room is 52 ft long. one wall measures 28 ft longer than the adjacent wall. Find the dimensions of the room.

  • pornography - ,

    x^2 + (x+28)^2 = 52^2

    x^2 + x^2 + 56 x + 784 = 2704

    2 x^2 + 56 x - 1920 = 0

    x^2 + 28 x -960 = 0

    x = [-28 +/- sqrt(28^2 + 3840) ]/2

    x = [ 28 +/- 68 ]/2

    x = 48
    48 - 28 = 20

    so 48 by 20

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