## 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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4 months 2022-01-01T15:13:09+00:00 1 Answer 0 views 0

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.