Question

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. What is the length of Louis’a basement?

Answer 1

Answer:

The length of Louise’s basement is 90 feet.

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 $x.$

So, the width is:

$\frac{3}{5}\ of\ x\\=\frac{3}{5}\times x\\=\frac{3x}{5}$

Area of the basement = 4860 square feet.

Now, to get the width of basement we put formula:

$Area=length\times width$

$4860=x\times \frac{3x}{5}$

$4860=\frac{3x^2}{5}$

Multiplying both sides by 5 we get:

$24300=3x^2$

Dividing both sides by 3 we get:

$8100=x^2$

Using square root on both sides we get:

$90=x$

$x=90\ feet.$

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