In which area is a PE teacher most likely located?

The gymnasium is the most appropriate location for a physical education (PE) teacher. This is the area designed for physical activities, sports, and exercise, which are central to the role of a PE teacher. In the gymnasium, the teacher can conduct classes, organize sports events, and facilitate a range of physical activities aimed at promoting health and fitness among students.

While a library is typically a quiet space dedicated to reading and studying, the cafeteria is focused on dining, and the administration office handles administrative tasks, none of these locations provide the necessary environment for engaging students in physical education. Therefore, the gymnasium stands out as the ideal setting for a PE instructor to perform their duties effectively.