A rectangular table is four times as long as it is wide if the area is 100 ft.² find the length and the width of the table

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

*

x

=

100

4

x

²

=

100

Divide both sides by

4

.

x

²

=

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.