A motel room measures 11 1/2’ x 20 1/3’. How many square feet of carpet will be required to carpet all the rooms of a complex that has 47 rooms?

Answer 1

Take the square feet of carpet needed for one room and multiply by 47

11 1/2 x 20 1/3 = 23/2 x 61/3 = 23(61)/6 square ft per room

= 1403/6 ft² = 233 5/6 ft²

For 47 rooms, the total square feet required is 47 x 1403/6 = 65,941/6 = 10,990 1/6 ft²