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
56 square yards
44 square yards
65 square yards
To find the area of the swimming pool, we first need to divide it into two shapes - a rectangle and a semicircle.
The rectangle's area = length x width = 10 yards x 6 yards = 60 square yards
The semicircle's area = 0.5 x π x radius^2
The radius of the semicircle is 3 yards (half of the width)
Area = 0.5 x 3.14 x 3^2 = 0.5 x 3.14 x 9 = 14.13 square yards
Total area = rectangle area + semicircle area
Total area = 60 square yards + 14.13 square yards = 74.13 square yards
Approximately, the area of the swimming pool is 74 square yards, therefore, the closest option is 65 square yards.