Louis wants to carpet the rectangular floor of his basement. The basement has an area of 864 sq. Feet. The width of the basement is 2/3 its length What is the length of Louis's basement.

36 ft

Step-by-step explanation:

A = lw

dа ta:

A = 864 ft²

l = length of basement

w = ⅔l

Calculations:

864 = l * ⅔l

864 = ⅔l²

Multiply each side by 3: 2592 = 2l²

Divide each side by 2: 1296 = l²

Take the square root of each side: l = 36

The length of the basement is 36 ft.

Check:

w = ⅔l = 24 ft

864 = 36 * 24

864 = 864