T. J. Is wallpapering his bedroom. The room has 8 ft. high ceilings and is 12 1/2 ft. long. If the perimeter of the room is 48 1/2 ft., what is the width of the room?

The width is 11.75 ft

Hello!

We know that the length of the room is 12 1/2 ft. To find the perimeter, multiply 12 1/2 ft by 2 and subtract that from the perimeter:

12.5 * 2 = 25

48.5 - 25 = 23.5

Now, divide that by 2 to get the width:

23.5 / 2 = 11.75

We can double check by using the perimeter formula:

P = 2 (12.5) + 2 (11.75)

= 48.5

So, the width of the room is 11.75 (11 3/4) ft.