Given the equation \( a = \frac{1}{2} b \) and the value of side \( b \) is 12 meters, we can substitute the value of \( b \) into the equation to find \( a \).
\[ a = \frac{1}{2} \times 12 \]
Calculating that, we get:
\[ a = 6 \text{ meters} \]
Therefore, side \( a \) should be 6 meters long.