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Algebra 2

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The perimeter of a rectangle is 122m. The length of the rectangle is 11m less than 5 times the width. Find the dimensions of the rectangle.

  • Algebra 2 - ,

    P = Perimeter

    L = Length

    W = Width


    P = 2 L + 2 W

    P = 2 ( L + W )


    P = 122 m

    L = 5 W - 11


    122 = 2 ( 5 W - 11 + W )

    122 = 2 ( 6 W - 11 )

    122 = 12 W - 22

    122 + 22 = 12 W

    12 W = 144 Diwidw both sides with 12

    W = 144 / 12


    W = 12 m


    L = 5 W - 11

    L = 5 * 12 - 11

    L = 60 - 11


    L = 49 m


    P = 2 ( L + W )

    P = 2 ( 49 + 12 )

    P = 2 * 61

    P = 122 m

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