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 retangle 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

Answer 1

To find the area of the swimming pool, we first need to analyze the shapes involved.

1. **Area of the Rectangle**:
The rectangle has a length of 7 yards and a height of 8 yards.
\[
\text{Area of the rectangle} = \text{length} \times \text{height} = 7 \, \text{yd} \times 8 \, \text{yd} = 56 \, \text{square yards}
\]

2. **Area of the Small Square Base**:
The square has a side length of 3 yards.
\[
\text{Area of the square} = \text{side} \times \text{side} = 3 \, \text{yd} \times 3 \, \text{yd} = 9 \, \text{square yards}
\]

3. **Total Area of the Swimming Pool**:
Assuming that the small square base is a part of the rectangle, we add both areas together:
\[
\text{Total Area} = \text{Area of the rectangle} + \text{Area of the square}
\]
\[
\text{Total Area} = 56 \, \text{square yards} + 9 \, \text{square yards} = 65 \, \text{square yards}
\]

Thus, the area of the swimming pool is **65 square yards**.