# A rectangular table is four times as long as it is wide. lf the area is 100 square feet, how do you find the length and the width of the table?

Jan 2, 2017

The width of the table is $5$ feet and the length is $20$ feet.

#### Explanation:

Let us consider the width of the table as $x$. The length of the table, according to the given data, will be $4 x$.

Since the area is $100$ square feet, and the area of a rectangle is length x width, we can write:

$4 x \times x = 100$

4x²=100

Divide both sides by $4$.

x²=25

Find the square root of each side.

$x = 5$ or $x = - 5$

Since we cannot consider a negative here, the width of the table is $5$ feet and the length is $20$ feet.