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27 September, 19:47

Louis wants to carpet the rectangular floor of his basement. The basement has an area of 864 sq. Feet. The width of the basement is 2/3 its length What is the length of Louis's basement.

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  1. 27 September, 21:18
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    36 ft

    Step-by-step explanation:

    A = lw

    dа ta:

    A = 864 ft²

    l = length of basement

    w = ⅔l

    Calculations:

    864 = l * ⅔l

    864 = ⅔l²

    Multiply each side by 3: 2592 = 2l²

    Divide each side by 2: 1296 = l²

    Take the square root of each side: l = 36

    The length of the basement is 36 ft.

    Check:

    w = ⅔l = 24 ft

    864 = 36 * 24

    864 = 864
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