How to calculate the requested area

Question

I do not reach the correct proportions.

Having no sides with numbers or letters I get many relationships, because I put letters to everything not known.

Answer 1

Obviously,$\triangle EFC$ and $\triangle AFD$ similar triangles so $$\frac { A\left( \overset { \triangle }{ EFC } \right) }{ A\left( \overset { \triangle }{ AFD } \right) } =\frac { { \left( 2m \right) }^{ 2 } }{ { \left( 3m \right) }^{ 2 } } =\frac { 4 }{ 9 } $$ anf we get that $$A\left( \overset { \triangle }{ AFD } \right) =4.5\Rightarrow A\left( \overset { \triangle }{ ACD } \right) =7.5\\ $$ it means

$$A\left( \overset { \triangle }{ ACD } \right) =A\left( \overset { \triangle }{ ABC } \right) =12\Rightarrow A\left( ABEF \right) =5.5\\ $$