## 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

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## Answers ( )

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[tex]\frac{l}{5}[/tex]feet respectively.Area of the basement floor is given to be 500 square feet.

Therefore according to the given problem,

l ×[tex]\frac{l}{5}[/tex]= 500⇒ [tex]l^{2}[/tex] = 100

⇒ l = 10; [length cannot be negative]⇒ b = 2Thus the length and width be 10 feet and 2 feet respectively.