Question

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 diagonally across. What is that distance?

Answer 1

164 meters

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