To find the distance the players ran, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two legs equals the square of the length of the hypotenuse.
In this case, the width of the soccer field is the length of one leg of the triangle (90 meters), the length of the field is the other leg of the triangle (120 meters), and the distance the players ran is the hypotenuse.
Using the Pythagorean theorem, we have:
Distance^2 = Width^2 + Length^2
Distance^2 = 90^2 + 120^2
Distance^2 = 8100 + 14400
Distance^2 = 22500
Taking the square root of both sides, we get:
Distance = √22500
Distance ≈ 150.49 meters
Therefore, the players ran approximately 150.49 meters.