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14 December, 12:51

Louis wants to carpet the rectangular floor of his basement. The basement has an area of 980 square feet. The width of the basement is 1/5 its length. What is the length of Louis's basement?

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  1. 14 December, 13:10
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    This problem requires a system of equations.

    Let x be the length and y be the width.

    xy = 980 x = 5y

    Substitute 5y for x.

    5y (y) = 980

    5y² = 980

    y² = 980/5

    y² = 196

    y = √196

    y = 14 feet

    Substitute 14 for y.

    x = 5y

    x = 5 (14)

    x = 70 feet

    The length is 70 feet.
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