Answer:
The length of Louise’s basement is <u>90 feet</u>.
Step-by-step explanation:
Given:
Louis wants to carpet the rectangular floor of his basement.
The basement has an area of 4860 square feet.
The width of the basement is 3/5 it’s length.
Now, to find the length of Louise’s basement.
Let the length of basement be 
So, the width is:

Area of the basement = 4860 square feet.
Now, to get the width of basement we put formula:



<em>Multiplying both sides by 5 we get:</em>

<em>Dividing both sides by 3 we get:</em>

<em>Using square root on both sides we get:</em>


Therefore, the length of Louise’s basement is 90 feet.