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?
To find the area of the swimming pool, we need to calculate the area of each section separately and then add them together.
The swimming pool can be broken down into two shapes: a rectangle and a semicircle.
The rectangle has a length of 30 yards and a width of 10 yards.
Area of rectangle = length x width
Area of rectangle = 30 yards x 10 yards
Area of rectangle = 300 square yards
The semicircle has a radius of 10 yards (which is half of the width of the rectangle).
Area of semicircle = 1/2 x π x radius^2
Area of semicircle = 1/2 x π x 10 yards x 10 yards
Area of semicircle = 50π square yards
Total area of swimming pool = area of rectangle + area of semicircle
Total area = 300 square yards + 50π square yards
Total area ≈ 451.92 square yards
Therefore, the area of the swimming pool is approximately 451.92 square yards.