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algebra

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the diagonal of a rectangular room is 13ft long. one wall measures 7ft longer than the adjacent wall. what are the dimensions of the room

  • algebra -

    13=(x+7)+x

    x=3

    So i think it would be 10X 3?

  • algebra -

    The diagonal forms 2 rt triangles: it is the hyp of the triangles.

    Width = X ft.
    Length = (x+7) ft.

    x^2 + (x+7)^2 = (13)^2,
    x^2 + x^2 + 14x + 49 = 169,
    2x^2 + 14x - 120 = 0,
    Divide both sides by 2:
    x^2 + 7x - 60 = 0,
    (x-5)(x+12) = 0,

    x-5 = 0,
    x = 5.

    x+12 = 0,
    x = -12.
    Select + value of X:
    X = 5 ft = Width.

    X + 7 = 12 ft = Length.

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