Question

Louis wants to carpet the rectangular floor of his basement. The basement has an area of 4,335 square feet. The width of the basement is

3/5 its length. What is the length of Louis's basement? The length is blank feet.

Answer 1

The length of Louis's basement is 85 feet.

Explanation:

The area of the basement, A = 4,335 square feet

The width of the basement is 3/5 its length.

Let length be l.

Width = (3/5)l

The area of the basement is given by :

`A=l* b\\\\4,335 =l* (3)/(5)l\\\\4,335 =(3)/(5)l^2\\\\l^2=(4,335 * 5)/(3)\\\\l=\sqrt{(4335*5)/(3)}\\\\l=85\ ft`

So, the length of Louis's basement is 85 feet.