The length and width of rug

Question

Rug is 2x it’s width. The area of the rug is 8 feet. What is the length and width length of rug?

Answer 1

Area equals Length times Width

So Total area is 8

in this case length is 2 times the width

8=2W*W

4=W^2

2=W

2W= 4 Width 2 Length 4

Answer 2

Let length= L

Let width= W

The problem tells us that:

L=2W

and the rug has an area of 8 square feet.

The formula for area of a rectangle is: A=L*W

Therefore, 8=L*W

L=2W and we can substitute in 2W for L in the problem.

This gives us:

8=2W*W

We can simplify this and solve for W:

8=2W*W

4=W^2

2=W

Substituting this in for L=2W gives

L=2(2)

L=4

Both answers are in feet.