A soccer field is a rectangle 90 meters wide and 120 meters long. The soccer team ran from one corner to the other corner, along the diagonal of the soccer field.
How far in meters, did the players run?
To find the distance that the players ran along the diagonal of the soccer field, we can use the Pythagorean theorem.
The length and width of the soccer field form a right triangle, with the diagonal as the hypotenuse. The length of the diagonal (d) can be found by using the formula:
d² = l² + w²
Where l is the length (120 meters) and w is the width (90 meters) of the soccer field.
Plugging in the values, we have:
d² = 120² + 90²
d² = 14400 + 8100
d² = 22500
Taking the square root of both sides, we get:
d = √22500
d ≈ 150.5 (rounded to the nearest tenth)
Therefore, the players ran approximately 150.5 meters along the diagonal of the soccer field.