Acob is putting carpet in his house. He wants to carpet the living room, which measures 15 ft × 12 1 3 ft. He also wants to carpet the dining room, which is 10 1 4 ft × 10 1 3 ft. How many square feet of carpet will he need to cover both rooms?

Step-by-step explanation:

The formula for determining the area of a rectangle is expressed as

Area = length × width

He wants to carpet the living room, which measures 15 ft × 12 1 3 ft. Converting 12 1/3 feet to improper fraction, it becomes 37/3 feet. The square feet of carpet needed to cover the living room is

15 × 37/3 = 185 square feet.

He also wants to carpet the dining room, which is 10 1/4 ft × 10 1/3 ft. Converting 10 1/4 ft × 10 1/3 ft to improper fraction, it becomes 41/4 ft × 31/3 ft. The square feet of carpet needed to cover the dinning room is

41/4 × 31/3 = 1271/12square feet

The number of square feet of carpet will he need to cover both rooms is

185 + 1271/12 = 3491/12

= 20.92 square feet