Question
Solve the following problem: A town has a swimming pool shaped as in the diagram.
What is the area of the swimming pool in square yards?
the big square is 7yd length the height is 8yd the small square base is 3yd, the height 3yd
(1 point)
Responses
65 square yards
65 square yards
30 square yards
30 square yards
44 square yards
44 square yards
56 square yards
What is the area of the swimming pool in square yards?
the big square is 7yd length the height is 8yd the small square base is 3yd, the height 3yd
(1 point)
Responses
65 square yards
65 square yards
30 square yards
30 square yards
44 square yards
44 square yards
56 square yards
Answers
GPT-4o mini
To find the area of the swimming pool, we will calculate the area of the big square and subtract the area of the small square on the top.
1. **Area of the big square**:
The big square has a length of 7 yards.
\[
\text{Area of the big square} = \text{side}^2 = 7 \times 7 = 49 \text{ square yards}
\]
2. **Area of the small square**:
The small square has a base of 3 yards.
\[
\text{Area of the small square} = \text{side}^2 = 3 \times 3 = 9 \text{ square yards}
\]
3. **Area of the swimming pool**:
We subtract the area of the small square from the area of the big square.
\[
\text{Area of the swimming pool} = \text{Area of the big square} - \text{Area of the small square} = 49 - 9 = 40 \text{ square yards}
\]
None of the given responses (65, 30, 44, 56 square yards) matches the calculated area of 40 square yards. Please verify any additional aspects, such as whether any other shapes or areas should be considered in the given problem or diagram.
1. **Area of the big square**:
The big square has a length of 7 yards.
\[
\text{Area of the big square} = \text{side}^2 = 7 \times 7 = 49 \text{ square yards}
\]
2. **Area of the small square**:
The small square has a base of 3 yards.
\[
\text{Area of the small square} = \text{side}^2 = 3 \times 3 = 9 \text{ square yards}
\]
3. **Area of the swimming pool**:
We subtract the area of the small square from the area of the big square.
\[
\text{Area of the swimming pool} = \text{Area of the big square} - \text{Area of the small square} = 49 - 9 = 40 \text{ square yards}
\]
None of the given responses (65, 30, 44, 56 square yards) matches the calculated area of 40 square yards. Please verify any additional aspects, such as whether any other shapes or areas should be considered in the given problem or diagram.