Use the image to answer the question.

An illustration shows a horizontal rectangle of height 18 yards with a circle of diameter 15 yards attached to its top left and a circle of diameter 15 yards attached to its bottom right.

Calculate the surface area. Use 3.14 for π .

1 answer

First, calculate the total surface area of the rectangle:

Rectangle surface area = height x width
Rectangle surface area = 18 yards x 15 yards
Rectangle surface area = 270 square yards

Next, calculate the surface area of the two circles:

Circle surface area = π x (radius)^2
Radius = diameter / 2 = 15 yards / 2 = 7.5 yards

Circle 1 surface area = 3.14 x (7.5 yards)^2 = 3.14 x 56.25 square yards = 176.625 square yards
Circle 2 surface area = 3.14 x (7.5 yards)^2 = 3.14 x 56.25 square yards = 176.625 square yards

Now, add the surface area of the rectangle and the two circles together:

Total surface area = Rectangle surface area + Circle 1 surface area + Circle 2 surface area
Total surface area = 270 square yards + 176.625 square yards + 176.625 square yards
Total surface area = 623.25 square yards

Therefore, the total surface area of the shape is 623.25 square yards.