Use the image to answer the 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? (1 point) Responses 56 square yards 56 square yards 65 square yards 65 square yards 44 square yards 44 square yards 30 square yards
To find the area of the swimming pool, we need to calculate the area of the rectangle and the area of the two half circles separately.
Area of rectangle = length × width
Area of rectangle = 8 yards × 7 yards
Area of rectangle = 56 square yards
Area of two half circles = πr² (each half circle has a radius of 4 yards)
Area of two half circles = 2 × π × 4 yards × 4 yards
Area of two half circles ≈ 100.53 square yards
Total area of swimming pool = Area of rectangle + Area of two half circles
Total area of swimming pool = 56 square yards + 100.53 square yards
Total area of swimming pool ≈ 156.53 square yards
So, the area of the swimming pool is approximately 156.53 square yards.