Area of Composite Figures Quick Check 3 of 53 of 5 Items Question 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 44 square yards 44 square yards 56 square yards 56 square yards 30 square yards 30 square yards 65 square yards 65 square yards Skip to navigation

Answer 1

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

The swimming pool can be divided into a rectangle and a semicircle.

1. Area of the rectangle:
Length = 10 yards, Width = 4 yards
Area = Length x Width = 10 yards x 4 yards = 40 square yards

2. Area of the semicircle:
Radius = 4 yards
Area = 1/2 x π x (4 yards)^2 = 1/2 x π x 16 square yards = 8π square yards

Now, add the areas of the rectangle and the semicircle:
40 square yards + 8π square yards ≈ 40 square yards + 25.12 square yards ≈ 65.12 square yards

Therefore, the area of the swimming pool is approximately 65 square yards. The closest answer choice is 65 square yards.