Final answer:
To find the area of a 10 ft by 12 ft room in square yards, calculate the area in square feet (120 ft2) and divide by 9, resulting in approximately 13.33 square yards.
Step-by-step explanation:
The area of a room that is 10 ft by 12 ft can be converted to square yards by first calculating the area in square feet and then converting square feet to square yards. To find the area in square feet, we use the formula Area = length × width, which in this case is 10 ft × 12 ft = 120 ft2. There are 9 square feet in 1 square yard, so we divide 120 ft2 by 9 to get the area in square yards.
Converting square feet to square yards:
120 ft2 ÷ 9 ft2/yd2 = 13.33 yd2 (repeating)
Therefore, a room that is 10 ft by 12 ft has an area of approximately 13.33 square yards.