Question

Louis wants to carpet the rectangular floor of his basement. The basement has an area of 864 ft.². The width of the basement is 2/3 it’s length. What is the length of Louises basement?

Answer 1

36 ft

Explanation:

The area of a rectangle is the product of length and width. Here, you have the width being 2/3 the length. Put the given values into the area formula and solve.

A = L·W

864 ft² = L · (2/3·L)

1296 ft² = L² . . . . . . . multiply by 3/2

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

The length of Louis's basement is 36 feet.