Answer:
The correct answer is E, 551.6 square feet.
Explanation:
I think we can assume that the two ends are perfect semi-circles, although that's not clearly specified.
In that case, the total area we have is that of a 15x25 foot rectangle, plus a circle with a diameter of 15ft.
So lets work that out. The rectangle is easy, as the area is just width times height. 15 ft * 25 ft is 375 ft²
The area of a circle is defined as πr². We're given the diameter, which is twice the radius, so the collective area of the two ends would be π × 7.5² which equals π × 56.25, or approximately 176.7 square feet.
Now we just need to add those together:
375 + 176.7 = 551.7
The difference in answer will be due to rounding, so we know that the correct answer is E, despite their answer being rounded incorrectly.