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7 May, 18:51

The perimeter of the parallelogram is 72 meters. The width of a parallelogram is four meters less than its length, find the length and the width of a parallelogram.

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  1. 7 May, 22:06
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    let n = length

    let n-4 = width since it is 4 meters shorter

    2 (n+n-4) = 72 Two of the length and width added together equal the perimeter

    combine like terms

    2 (2n - 4) = 72 Now use the distributive law on the left side of the equation

    4n - 8 = 72 Now add 8 to both sides

    4n - 8 + 8 = 72 + 8

    4n = 80 Finally divide each side by 4

    n=20

    so the length is 20 and the width is 4 less or 16.

    Let's see if our answer works.

    20 + 16 + 20 + 16 = ? 72

    72 = 72 yes, it does. Length = 20 Width = 16
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