The cost of the rug was $432, and rugs sell for $8 per square foot.
Divide 432 by 8 to find the square foot of the rug.

The rug has an area of 54 square foot.
The rug must have the shape of a rectangle.
The formula for the area of a rectangle is

where A is the area, w is the width, and l is the length.
We know the area and the length.
Plug it into the formula. You get the following.

Divide both sides by 9 to get the width.

The width of the rug was 6 feet, which is the same as saying the rug was 6 feet wide. Hope this helps! :)