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)
In order to find the area of the swimming pool, we first need to find the dimensions of the pool.
Looking at the diagram, we can see that the pool is in the shape of a rectangle with a semi-circle on one end.
The rectangle measures 10 yards by 20 yards.
The semi-circle has a radius of 5 yards (half of the width of the rectangle).
To find the area of the rectangle, we multiply the length and width:
Area of rectangle = length x width
Area of rectangle = 10 yards x 20 yards
Area of rectangle = 200 square yards
To find the area of the semi-circle, we use the formula for the area of a circle and divide by 2 (since it is a semi-circle):
Area of semi-circle = (πr^2)/2
Area of semi-circle = (π(5 yards)^2)/2
Area of semi-circle = (π(25 square yards))/2
Area of semi-circle ≈ (78.54 square yards)/2
Area of semi-circle ≈ 39.27 square yards
Therefore, the total area of the swimming pool is the sum of the area of the rectangle and the area of the semi-circle:
Total area = 200 square yards + 39.27 square yards
Total area ≈ 239.27 square yards
So, the area of the swimming pool is approximately 239.27 square yards.