Arectangular 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.