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 point)
Responses
600.53 yards2
600.53 yards squared
3,108.6 yards2
3,108.6 yards squared
623.25 yards2
623.25 yards squared
1,201.05 yards2
The surface area can be calculated by adding the surface area of the rectangle (base x height) to the combined surface area of the two circles (πr^2 for each circle).
The rectangle has a base of 15 yards and height of 18 yards, so the surface area of the rectangle is 15 x 18 = 270 yards^2.
The first circle has a radius of 7.5 yards (half of the diameter), so its surface area is π(7.5)^2 = 176.625 yards^2.
The second circle also has a radius of 7.5 yards, so its surface area is also 176.625 yards^2.
Adding these together, we get 270 + 176.625 + 176.625 = 623.25 yards^2.
So, the correct answer is:
623.25 yards squared