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18 December, 02:42

If the length of a rectangle is 6m longer than its width, what is the area if the perimeter is 44m

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  1. 18 December, 03:54
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    A = 112 square meters

    Step-by-step explanation:

    write 2 equations using the given information:

    L = W + 6

    2L + 2W = 44

    plug in (W+6) for L in the 2nd equation:

    2 (W+6) + 2W = 44

    solve for W:

    2W + 12 + 2W = 44

    4W + 12 = 44

    4W = 32

    W = 8

    plug in 8 for W in the first equation:

    L = 8 + 6

    L = 14

    Now that you know the length and width, you can solve for the area:

    A = LW

    A = 14 * 8

    A = 112 square meters
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