Question

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

Answer 1

150 meters

Explanation:

Answer 2

150 metres

Explanation:

We can imagine the rectangle, when cut diagonally it forms a Right angled Triangle

Using this we can find the diagonal i.e hypotenuse.

From the question we know that,

Length = 120 metres

Width = 90 metres

So we can find the diagonal by keeping it as x using the pythogorean theorem.

`{120}^(2) + {90}^(2) = {x}^(2) \\ 14400 + 8100 = {x}^(2) \\ 22500 = {x}^(2) \\ x = √(22500) \\ x = 150`