Question

Q2. A soccer field is a rectangle 90 meters wide and 120 meters long.  The coach asks players to run from one corner to the corner diagonally across the field.   How far do the players run?

Answer 1

The players run 150m

Explanation:

If we think of the diagonal that goes from one corner to the other in a rectangle, this could be divided into 2 right triangles

To calculate one side of a right triangle from the other 2 sides we have to use Pythagoras

h = hypotenuse

a = leg 1 = 90m

b = leg 2 = 120m

h² = a² + b²

we replace the known values

h² = (90m)² + (120m)²

h² = 8100m² + 14400m²

h² = 22500m²

h = √(22500m²)

h = 150m

The players run 150m