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?

Answer 1

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.