At T(K), the equilibrium constants for the following two reactions are given below:
\[
2A(g) \leftrightarrow B(g) + C(g), \quad K = 16 \quad \text{and} \quad 2B(g) \leftrightarrow D(g), \quad K = 25.
\]
What is the value of the equilibrium constant (K) for the reaction given below at T(K)?
\[
\frac{1}{2} A(g) \leftrightarrow \frac{1}{2} B(g)
\]