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)
O 30 square vards
• 44 square yards
• 65 square yards
O 56 square yards

1 answer

To find the area of the swimming pool, we need to calculate the area of each individual shape in the diagram and then add them together.

The swimming pool consists of a rectangle with dimensions 8 yards by 4 yards, and a semicircle with a radius of 4 yards.

Area of rectangle = length x width
Area of rectangle = 8 yards x 4 yards
Area of rectangle = 32 square yards

Area of semicircle = (1/2) x π x r^2
Area of semicircle = (1/2) x 3.14 x 4 yards x 4 yards
Area of semicircle = 6.28 x 4 square yards
Area of semicircle = 25.12 square yards

Total area = area of rectangle + area of semicircle
Total area = 32 square yards + 25.12 square yards
Total area = 57.12 square yards

Therefore, the area of the swimming pool is approximately 57.12 square yards. Since none of the given options match this exactly, the closest option is 56 square yards.