خطا
با توجه به شکل زیر: $\begin{align} & \sin {{30}^{\circ }}=\frac{x}{12}\Rightarrow x=12\times \frac{1}{2}=6 \\ & \sin {{60}^{\circ }}=\frac{y}{12}\Rightarrow y=12\times \frac{\sqrt{3}}{2}=6\sqrt{3} \\ & \Rightarrow S=\frac{x(4+4+y)}{2}=\frac{6(8+6\sqrt{3})}{2}=3(8+6\sqrt{3})=24+18\sqrt{3} \\ \end{align}$