Question

a rectanular field is 65 meters wide and 115 meters long. a coach asks players to run from one corner to the opposite corner diagonally across field, then run back to where they started. how far do they have to run altogether

Answer 1

Players ran 264.20 m altogether.

Explanation:

Diagram is attached for reference

Given:

Length of rectangular field (BC) = 115 m

Width of rectangular field (AB) = 65 m

a coach asks players to run from one corner to the opposite corner diagonally across field.

i.e In diagram from point A to Point C

So we will first find the length of diagonal AC.

Now we know that all angles of rectangle is 90°

Hence by Pythagoras theorem we get;

`AC^2=AB^2+BC^2`

Substituting the value we get;

`AC^2 = 115^2+65^2 = 17450`

Now taking square root on both side we get;

`√(AC^2) = √(17450) \\\\AC \approx 132.10\ m`

Now Players run back from where they started.

So players ran = 132.10 m + 132.10 m = 264.20 m

Hence Players ran 264.20 m altogether.