The perimeter (P) of a square is given by the formula:
\[ P = 4s \]
where \( s \) is the length of one side of the square. Given that the perimeter is 32 meters, we can set up the equation:
\[ 32 = 4s \]
Now, we can solve for \( s \):
\[ s = \frac{32}{4} \]
\[ s = 8 \]
Therefore, each side of the square family room is 8 meters long.