Answer:
2 cm.
Step-by-step explanation:
It is given that the area of a square sports arena is 10,000 m².
Area of a square = Square of side.
Let side of square sports arena is x m.
[tex]x^2=10000[/tex]
Taking square root on both sides, we get
[tex]x=\pm \sqrt{10000}[/tex]
[tex]x=\pm 100[/tex]
Side length of a sports arena cannot be negative. So x=100 m.
It is given that each centimeter in map represents 50 m.
50 m = 1 cm
Multiply both sides by 2.
100 m = 2 cm
Therefore, the dimensions of the sports arena on the map is 2 cm.
