Answer:
Players ran 264.20 m altogether.
Step-by-step 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;
[tex]AC^2=AB^2+BC^2[/tex]
Substituting the value we get;
[tex]AC^2 = 115^2+65^2 = 17450[/tex]
Now taking square root on both side we get;
[tex]\sqrt{AC^2} = \sqrt{17450} \\\\AC \approx 132.10\ m[/tex]
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.
