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?

(1 point)
Responses

30 square yards
30 square yards

65 square yards
65 square yards

56 square yards
56 square yards

44 square yards
44 square yards

1 answer

To find the area of the swimming pool, first calculate the area of each portion separately and then add them together.

The rectangular portion has dimensions of 5 yards by 4 yards, so the area of the rectangular portion is 5 yards x 4 yards = 20 square yards.

The circular portion has a radius of 3 yards, so the area of the circular portion is πr² = π(3)² = 9π square yards.

Now add the areas of both portions together: 20 square yards + 9π square yards ≈ 20 square yards + 28.27 square yards ≈ 48.27 square yards.

Therefore, the area of the swimming pool is approximately 48.27 square yards. None of the multiple choice options match exactly, but the closest is 44 square yards.