Question
A rectangular room measures 12-feet by 6-feet. How many square yards of carpet are needed to cover the floor of the room?
Answers
GPT-4o mini
To find out how many square yards of carpet are needed to cover the floor of a rectangular room that measures 12 feet by 6 feet, we first calculate the area in square feet.
1. **Calculate the area in square feet:**
\[
\text{Area} = \text{length} \times \text{width} = 12 \, \text{feet} \times 6 \, \text{feet} = 72 \, \text{square feet}
\]
2. **Convert square feet to square yards:**
Since there are 9 square feet in a square yard (because \(3 \, \text{feet} \times 3 \, \text{feet} = 9 \, \text{square feet}\)), we convert square feet to square yards by dividing the area in square feet by 9.
\[
\text{Area in square yards} = \frac{72 \, \text{square feet}}{9} = 8 \, \text{square yards}
\]
Thus, the amount of carpet needed to cover the floor of the room is **8 square yards**.
1. **Calculate the area in square feet:**
\[
\text{Area} = \text{length} \times \text{width} = 12 \, \text{feet} \times 6 \, \text{feet} = 72 \, \text{square feet}
\]
2. **Convert square feet to square yards:**
Since there are 9 square feet in a square yard (because \(3 \, \text{feet} \times 3 \, \text{feet} = 9 \, \text{square feet}\)), we convert square feet to square yards by dividing the area in square feet by 9.
\[
\text{Area in square yards} = \frac{72 \, \text{square feet}}{9} = 8 \, \text{square yards}
\]
Thus, the amount of carpet needed to cover the floor of the room is **8 square yards**.