Final answer:
The problem does not provide enough information to determine the area of the enclosure from the given perimeter of 816 meters. For a square enclosure, the side length would be 204 meters, leading to an area calculation of 41616 m², which does not match any of the options provided. Additional information about the shape is necessary to find the correct area.
Step-by-step explanation:
The question is asking to calculate the area of an enclosure given that the perimeter is 816 meters. This seems to imply a regular shape, but without the specific shape we cannot compute the exact area. However, we can use a trick in situations like this where we might imagine turning the shape into a simple one like a square for easier computation. For a square, if its perimeter (P) is known, one can find the side length (a) by dividing the perimeter by 4 because a square has four equal sides. Once we have the side length, we can find the area (A) of the square using the formula A = a².
Let's apply this to the given perimeter. If our enclosure is a square with a perimeter of 816 meters, then each side would be ¼ of this length, or 204 meters. Hence, the area would then be 204 meters times 204 meters, which is 41616 square meters. However, none of the options provided (204 m², 408 m², 612 m², 816 m²) match the computed area. This suggests that additional information, such as the shape of the enclosure or the lengths of the individual sides, is needed to correctly determine the area.
Without this additional information, one cannot select an answer from the provided options based on the given perimeter alone.