Final answer:
Without the length of one lap around the pool, it is impossible to determine the total distance traveled by swimming 4.5 times around the pool.
Step-by-step explanation:
The student asked: Path take: If he swims around the pool 4.5 times, how far has he traveled? This question requires calculating the distance swum based on the number of times the swimmer goes around the pool. To provide an accurate answer, we must know the length of one lap around the pool. Without this critical piece of information, we cannot calculate the total distance. Therefore, we are unable to choose from the provided options (a) 500m, (b) 600m, (c) 700m, or (d) 800m confidently without making assumptions.