ANSWER:
[tex]x = 164.012 \: m[/tex]
l
EXPLANATION
Players running diagonally divides the field in to two triangles
so, the diagonal distance is the hypotenuse,the length is the adjacent and the wide is the opposite side
[tex]l = 130 \: m[/tex]
[tex]w = 100m[/tex]
[tex]let \: x \: be \: the \: diagonal \: distance[/tex]
[tex]from \: Pythagoras \: theorem[/tex]
[tex] {x}^{2} = {l}^{2} + {w}^{2} [/tex]
[tex] {x}^{2} = {130}^{2} + {100}^{2} [/tex]
[tex] {x}^{2} = 16900 + 10000[/tex]
[tex] {x}^{2} = 26900[/tex]
[tex]x = \sqrt{26900} [/tex]
[tex]x = 164.012 \: m[/tex]
