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the length of a rectangle is 4 cm longer than it’s width. If the perimeter of the rectangle is 44 cm, find it’s area

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  1. L = length

    W = width

    P = perimeter

    A = area

    The length of a rectangle is 4 cm longer than it’s width mesns:

    L = W + 4

    P = 2 ( L + W ) = 44

    Replacw L by W + 4 in this equation.

    2 ( W + 4 + W ) = 44

    2 ( 2 W + 4 ) = 44

    Divide both sides by 2

    2 W + 4 = 22

    2 W = 22 - 4 = 18

    W = 18 / 2

    W = 9 cm

    L = W + 4 = 9 + 4

    L = 13 cm

    A = L • W = 13 • 9

    A = 117 cm²

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