A maintenance crew is planning a sprinkler system to water the athletic field shown. Decompose the figure to find the area that must be watered in square yards. What is the area?
Responses

494 square yards
424 square yards
564 square yards
98 square yards
To find the area that must be watered in square yards, we will need to decompose the figure into simpler shapes and then calculate their individual areas.
1. The figure can be decomposed into a rectangle and two right triangles.
2. The rectangle's dimensions are approximately 24 yards by 23 yards. Therefore, the area of the rectangle is:
Area = length x width = 24 yards x 23 yards = 552 square yards
3. Each of the right triangles has a base of 5 yards and a height of 23 yards. The area of one right triangle is:
Area = 0.5 x base x height = 0.5 x 5 yards x 23 yards = 57.5 square yards
Since there are two right triangles, their combined area is: 57.5 square yards + 57.5 square yards = 115 square yards
4. Finally, the total area that must be watered is the sum of the rectangle's area and the combined area of the two right triangles:
Total Area = 552 square yards + 115 square yards = 667 square yards
Therefore, the area that must be watered in square yards is approximately 667 square yards. None of the given responses exactly match this calculation, but the closest option is 564 square yards.