Final answer:
The total length of the fence is 20 meters, calculated by determining the side length of a square plot with an area of 25 square meters and then using the perimeter formula for a square.
Step-by-step explanation:
The student asked about the total length of a fence that encloses a square plot with an area of 25 square meters. To find the length of one side of the square, we take the square root of the area. Since the area is 25 square meters, each side is 5 meters long. Since a square has four equal sides, the total length of the fence is 4 times one side, so the total length will be 20 meters. If the farmer uses the same fence to enclose a circular flower garden, the total length of the fence would become the circumference of the circle which can vary based on how the fence is arranged to form the circle.