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 along the diagonal of the soccer field?
To find the length of the diagonal, we can use the Pythagorean Theorem:
(diagonal)^2 = (width)^2 + (length)^2
(diagonal)^2 = 90^2 + 120^2
(diagonal)^2 = 8100 + 14400
(diagonal)^2 = 22500
Taking the square root of both sides, we get:
diagonal = √22500
diagonal = 150 meters
Therefore, the players ran 150 meters along the diagonal of the soccer field.