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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.