Question
A rectangle floor is 27 feet long and 9 feet wide. What is the area of the floor in square yards? Be sure to include the correct unit in your answer
Answers
GPT-4o mini
To calculate the area of the rectangle floor in square yards, first, we need to find the area in square feet and then convert it to square yards.
1. Calculate the area in square feet:
\[
\text{Area} = \text{length} \times \text{width} = 27 \, \text{feet} \times 9 \, \text{feet} = 243 \, \text{square feet}
\]
2. Convert square feet to square yards. There are 9 square feet in 1 square yard (since \(1 \, \text{yard} = 3 \, \text{feet}\), thus \(1 \, \text{square yard} = 3 \times 3 = 9 \, \text{square feet}\)).
\[
\text{Area in square yards} = \frac{\text{Area in square feet}}{9} = \frac{243 \, \text{square feet}}{9} = 27 \, \text{square yards}
\]
Therefore, the area of the floor is \( \boxed{27 \, \text{square yards}} \).
1. Calculate the area in square feet:
\[
\text{Area} = \text{length} \times \text{width} = 27 \, \text{feet} \times 9 \, \text{feet} = 243 \, \text{square feet}
\]
2. Convert square feet to square yards. There are 9 square feet in 1 square yard (since \(1 \, \text{yard} = 3 \, \text{feet}\), thus \(1 \, \text{square yard} = 3 \times 3 = 9 \, \text{square feet}\)).
\[
\text{Area in square yards} = \frac{\text{Area in square feet}}{9} = \frac{243 \, \text{square feet}}{9} = 27 \, \text{square yards}
\]
Therefore, the area of the floor is \( \boxed{27 \, \text{square yards}} \).