Arectangular room has an area of 131 1/4 square feet. the length of the room is 12 1/2 feet. what is the width, in feet, if the room

As the room is a rectangle, to find the area you simply multiply the length and width together.

L x W = A

As in the question stated you have the area and length:

12.5 x W = 131

To find the width you can simply divide the area by the length:

131 ÷ 12.5 = 10.48 ≅ 10.5 = 10