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