Question

Louis wants to carpet the rectangular floor of his basement.The basement has a area 432 square feet,The width of the basement is 1/3 its length.What's the length of Louis's basement.

Answer 1

36 ft

Explanation:

Let L represent the length of Louis's basement. The area is the product of length and width, so is ...

A = L(L/3)

432 = L²/3 . . . . . fill in area value

1296 = L² . . . . . . multiply by 3

36 = L . . . . . . . . . take the square root

The length of Louis's basement is 36 feet.