Answer:
593 m
Step-by-step explanation:
Total distance covered = perimeter of the trapezoid
= 100 + 75 + 250 + the length of the slant side (2nd swim)
Apply Pythagorean theorem to find the slant side (hypotenuse) since it forms a right triangle if we consider the distance between the parallel bases of the trapezoid.
Thus, let "x" represent the side length we are looking for.
Applying Pythagorean theorem, we have:
x² = 75² + (250 - 100)²
x² = 75² + 150²
x² = 28,125
x = √28,125
x = 167.705098 ≈ 168 m
✔️Total distance covered = 100 + 75 + 250 + 168 = 593 m