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March 26, 2017

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The width of a rectangle is 6 cm less than the length. A second rectangle, with a perimeter of 54 cm, is 3 cm wider and 2 cm shorter than the first. What are the dimensions of each rectangle. Please give complete answer :)

  • math - ,

    1ST Rectangle

    Length = x cm
    Width = (x - 6) cm

    2nd Rectangle

    Perimeter = 54 cm
    Width = (x - 6) + 3 = (x - 3) cm
    Length = (x - 2) cm
    P = 2W + 2L
    P = 2(X - 3) + 2(X - 2)
    54 = 2x - 6 + 2x - 4
    x = 16 cm
    Width = x - 3 = 16 - 3 = 13 cm
    Length = x - 2 = 16 - 2 = 14 cm

    1st Rectangle

    Width = x - 6 = 16 - 6 = 10 cm
    Length = x = 16 cm

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