Louis wants to carpet the rectangular floor of his basement. The basement has an area of 500 square feet. The width of the basement is 1/5 i

Question

Louis wants to carpet the rectangular floor of his basement. The basement has an area of 500 square feet. The width of the basement is 1/5 its length.

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Mackenzie 3 weeks 2022-01-01T15:13:09+00:00 1 Answer 0 views 0

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    2022-01-01T15:14:29+00:00

    Answer:

    The correct answer is the length is 10 feet and width is 2 feet respectively.

    Step-by-step explanation:

    Let length of the rectangular floor of Louis’ basement be l feet and width be \frac{l}{5} feet respectively.

    Area of the basement floor is given to be 500 square feet.

    Therefore according to the given problem,

    l × \frac{l}{5}  = 500

    l^{2} = 100

    ⇒ l = 10 ; [length cannot be negative]

    ⇒ b = 2

    Thus the length and width be 10 feet and 2 feet respectively.

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