[tex]a = \sqrt{3}\\b = 2\sqrt{3}\\\alpha = 120^{o}\\sin\alpha =sin120^{o} = sin(180^{o}-60^{o}) = sin60^{o} = \frac{\sqrt{3}}{2}\\\\P = \frac{1}{2}absin\alpha\\\\P = \frac{1}{2}\cdot\sqrt{3}\cdot2\sqrt{3}\cdot\frac{\sqrt{3}}{2}=\frac{6\sqrt{3}}{4}\\\\\boxed{P = \frac{3\sqrt{3}}{2} \ \ [j^{2}]}[/tex]
