The length of the side is 10√2 cm.
To solve this problem we need to know the concepts of area of plane figures.
We know the area of a square is the square of its sides.
Now, the given data says that the area of a square game board is 200 sq.cm.
Let the side of the square be a cm.
According to question,
a × a=200
⇒ a² = 200
⇒ a = √200
∴ a = 10√2 cm
So, the length of one side of the square game board is 10√2 cm.
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