To find the length of each side of a square family room with an area of 25 square meters, you can use the formula for the area of a square:
\[ \text{Area} = \text{side}^2 \]
Since the area is given as 25 square meters, you can set up the equation:
\[ \text{side}^2 = 25 \]
To find the length of each side, take the square root of both sides:
\[ \text{side} = \sqrt{25} \]
Calculating the square root gives:
\[ \text{side} = 5 \text{ meters} \]
Therefore, each side of the family room is 5 meters long.