A rectangular room has an area of 168 square feet, and carpet is sold by the foot of width. The room's length is 14 feet. How wide is the room?

1. The area of a rectangle is length times width, so A equals L times W. 2. Substitute the known values: 168 equals 14 times W. 3. Divide both sides by 14: W equals 168 divided by 14, which is 12. 4. The room is 12 feet wide. 5. 84 feet halves the area instead of dividing by the length, mixing the area formula with the perimeter one. _Source: OpenStax Prealgebra (CC BY 4.0), Ch 9 "Math Models and Geometry", section 9.4 Use Properties of Rectangles, Triangles, and Trapezoids_