Solve the following problem. The town has a swimming pool shaped as in the diagram. What is the area of the swimming pool in 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 semicircles.
The rectangle has a length of 30 yards and a width of 20 yards. The area of the rectangle is length x width, so the area of the rectangle is 30 yards x 20 yards = 600 square yards.
Each semicircle has a radius of 10 yards (half the width of the rectangle). The area of a semicircle is 1/2 x π x radius^2. So the area of each semicircle is 1/2 x π x 10 yards x 10 yards = 50π square yards.
Since we have two semicircles, the total area of the two semicircles is 2 x 50π = 100π square yards.
So, the total area of the swimming pool is the area of the rectangle + the area of the two semicircles:
600 square yards + 100π square yards ≈ 600 square yards + 314 square yards ≈ 914 square yards
Therefore, the area of the swimming pool is approximately 914 square yards.