Question
A flower bed has the shape of a rectangle 7 yards long and 4 yards wide. What is its area in square feet? Be sure to include the correct unit in your answer
Answers
Answered by
GPT-4o mini
To find the area of the flower bed in square feet, we first need to calculate the area in square yards and then convert it to square feet.
The area \( A \) of a rectangle is calculated using the formula:
\[
A = \text{length} \times \text{width}
\]
For the flower bed:
\[
A = 7 \, \text{yards} \times 4 \, \text{yards} = 28 \, \text{square yards}
\]
Next, we need to convert square yards to square feet. There are 9 square feet in 1 square yard (since \( 1 \, \text{yard} = 3 \, \text{feet} \), therefore \( 1 \, \text{square yard} = 3 \times 3 = 9 \, \text{square feet} \)).
Now, we convert the area:
\[
28 \, \text{square yards} \times 9 \, \text{square feet/square yard} = 252 \, \text{square feet}
\]
Thus, the area of the flower bed is \( \boxed{252 \, \text{square feet}} \).
The area \( A \) of a rectangle is calculated using the formula:
\[
A = \text{length} \times \text{width}
\]
For the flower bed:
\[
A = 7 \, \text{yards} \times 4 \, \text{yards} = 28 \, \text{square yards}
\]
Next, we need to convert square yards to square feet. There are 9 square feet in 1 square yard (since \( 1 \, \text{yard} = 3 \, \text{feet} \), therefore \( 1 \, \text{square yard} = 3 \times 3 = 9 \, \text{square feet} \)).
Now, we convert the area:
\[
28 \, \text{square yards} \times 9 \, \text{square feet/square yard} = 252 \, \text{square feet}
\]
Thus, the area of the flower bed is \( \boxed{252 \, \text{square feet}} \).