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)
30 square yards
65 square yards
56 square yards
44 square yards
To find the area of the swimming pool, we need to break it down into two shapes - a rectangle and a half circle.
The rectangle has a length of 10 yards and a width of 7 yards. The area of the rectangle is length x width = 10 yards x 7 yards = 70 square yards.
The half circle has a radius of 3.5 yards (half of the width of the rectangle). The formula for the area of a circle is πr^2, so the area of the half circle is 0.5 x π x 3.5^2 = 3.5 x 3.5 x π = 12.25π square yards.
Adding the area of the rectangle and the half circle together gives us 70 square yards + 12.25π square yards ≈ 70 + 12.25 x 3.14 ≈ 70 + 38.47 ≈ 108.47 square yards.
Therefore, the area of the swimming pool is approximately 108.47 square yards. The closest option is 65 square yards.