Answer: the diagonal distance that they would swim is 60 meters.
Step-by-step explanation:
The diagonal of the rectangular swimming pool divides it into two equal right angle triangles. The diagonal represents the hypotenuse of each right angle triangle. The length and width of the rectangle represents the adjacent and opposite sides of the right angle triangle. To determine the length of the diagonal, d, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore
d² = 50² + 25²
d² = 2500 + 625 = 3125
d = √3125
d = 60 meters