Final answer:
To find the area of a 12 square-yard room in square meters, convert the area from square yards to square meters using the conversion factors. The area of the room is approximately 10.03 square meters.
Step-by-step explanation:
To find the area of a 12 square-yard room in square meters, we need to convert the area from square yards to square meters. Given that 1 square yard is equal to 9 square feet and 1 square meter is approximately 10.76 square feet, we can use these conversion factors to find the area in square meters.
First, we convert 12 square yards to square feet by multiplying by 9: 12 yards * 9 feet = 108 square feet.
Then, we convert 108 square feet to square meters by dividing by 10.76: 108 square feet / 10.76 = 10.03 square meters. Rounding to the nearest hundredth, the area of the 12 square-yard room is approximately 10.03 square meters.