219k views
4 votes
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

1 Answer

1 vote
Answer:
The width of the table is
5
feet and the length is
20
feet.
Step-by-step 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.
User TriTap
by
5.9k points