algebra1 HELP PLEASE

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The length of a rectangle is 4 m less than the diagonal and the width is 7 m less than the diagonal. If the area is 76 m2, how long is the diagonal? Round your answer to the nearest tenth.

  • algebra1 HELP PLEASE -

    If the sides are x and y, and the diagonal is d,

    x = d-7
    y = d-4
    so,

    d = x+7 = y+4
    That is, y = x+3

    xy = 76, so
    x(x+3) = 76
    x = 7.35

    So, the rectangle is 7.35 x 10.35
    area = 76
    diagonal is 12.69

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