To find the distance from one corner to the corner diagonally across, we can use the Pythagorean theorem.
Let's take one corner of the rectangle as the starting point, and the corner diagonally across as the endpoint of the diagonal.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the width of the soccer field (80 meters) is one side of the right triangle, and the length (100 meters) is the other side. The diagonal is the hypotenuse.
Using the Pythagorean theorem:
Diagonal^2 = Width^2 + Length^2
Diagonal^2 = 80^2 + 100^2
Diagonal^2 = 6400 + 10000
Diagonal^2 = 16400
Taking the square root of both sides:
Diagonal = √16400
Diagonal ≈ 128.06 meters
Therefore, the distance from one corner to the corner diagonally across is approximately 128.06 meters. Therefore, the correct answer is 128.06 meters.