Question$\triangle \mathrm{DEF}$ is shown in the sketch below. G is a point on DF and EG is drawn. $\mathrm{DG}=\mathrm{DE}=x . \quad \mathrm{FG}=\frac{3 x}{2}$ and $\mathrm{EG}=\sqrt{3} x$. 2.1 Calculate the size of $\dot{D}$. (4) 2.2 Calculate the area of $\triangle G E F$ in terms of $x$, in its simplest form. (5)