A soccer field is a rectangle 100 meters wide and 130 meters long. The coach asks players to run from one corner to the other corner diagonal across. What is that distance?

The answer to your question is 164 meters

Step-by-step explanation:

Data

Width = 100 m

Length = 130 m

diagonal = ?

Process

1) To solve this problem, use the Pythagorean theorem

c² = a² + b²

where,

c = diagonal

a = length

b = width

2) Substitution

c² = (130) ² + (100) ²

3) Simplification

c² = 16900 + 10000

c² = 26900

4) Result

c = 164 m

Answer: The distance from one corner to the other corner is 164 meters.

Step-by-step explanation:

The diagonal of the rectangular field divides it into two equal right angle triangles. The diagonal represents the hypotenuse of each right angle triangle. The length and width of the rectangle represents the adjacent and opposite sides of the right angle triangle. To determine the length of the diagonal, d, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore

d² = 100² + 130²

d² = 10000 + 16900 = 26900

d = √26900

d = 164 meters