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27 August, 01:40

The width of the rectangle is five feet less than the length. If the perimeter of the rectangle is 34 feet find both dimensions

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  1. 27 August, 04:05
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    length = 11 ft, width = 6 ft

    Step-by-step explanation:

    Let w be the width, l be the length and p the perimeter. You can write down the following equations:

    1. w = l - 5

    2. p = 2 * (w + l)

    Now you have two equations with two unknown.

    Plugging eq. 1 in eq. 2:

    p = 2 * (l-5 + l)

    p = 2 * (2*l - 5)

    p = 4*l - 10

    Remember p = 34

    34 = 4*l - 10

    4*l = 44

    l = 11

    Using eq. 1 to solve for w:

    w = 11 - 5

    w = 6
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