SEAMO 2027 - Paper E - SET 04 - Self-study Question 9

In triangle $ABC$, $AC=3AD$, $BC=3EC$ and $BG:GF:FD=3:1:2$, with the points positioned as shown. Given $[ABC]=2700\text{ cm}^2$, find $[EFG]$ in $\text{cm}^2$.