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

To calculate the surface area of the shape, we need to find the area of the rectangle and the areas of the two circles, and then add them together.

Area of rectangle:
Height = 18 yards
Length = 15 yards
Area = 18 * 15 = 270 square yards

Area of Circle 1:
Radius = 15 yards / 2 = 7.5 yards
Area = π * (7.5)^2 = 3.14 * 56.25 = 176.625 square yards

Area of Circle 2:
Radius = 15 yards / 2 = 7.5 yards
Area = π * (7.5)^2 = 3.14 * 56.25 = 176.625 square yards

Total surface area = Area of rectangle + Area of Circle 1 + Area of Circle 2
Total surface area = 270 + 176.625 + 176.625
Total surface area = 623.25 square yards

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