Question

Louis wants to carpet the rectangular floor of his basement. The basement has an area of 2,000 square feet. The width of the basement is

4/5
its length.

What is the length of Louis's basement? PLEASE RESPOND FAST I CANT FIND ANY ANSWER TO THESE

Answer 1

Given:

Given that Louis wants to carpet the rectangular floor of his basement.

The basement has an area of 2000 square feet. The width of the basement is
`(4)/(5)` its length.

We need to determine the length of the Louis's basement.

Length of Louis's basement:

Let l denote the length of the basement.

Let w denote the width of the basement.

Since, width is
`(4)/(5)` its length, it can be written as
`w=(4)/(5)l`

Substituting these values in the area of the rectangle formula, we get;

`A=lw`

`2000=l((4)/(5)l)`

`2000=(4)/(5)l^2`

Multiplying both sides by
`(5)/(4)`, we get;

`(10000)/(4)=l^2`

`2500=l^2`

Taking square root on both sides, we have;

`50=l`

Thus, the length of Louis's basement is 50 feet.