Question

the area of a square sports arena is 10,000 m². What are the dimensions of the sports arena on the map? Show your work. (each centimeter represents 50 m)

Answer 1

2 cm.

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.

`x^2=10000`

Taking square root on both sides, we get

`x=\pm √(10000)`

`x=\pm 100`

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.