SEAMO 2027 - Paper F - SET 09 - Self-study Question 13

As shown in the figure, $AD\parallel BE\parallel FC$. Find the area of triangle $DEF$ if the area of triangle $ABC$ is 1. The incidences shown are retained: $B,D,C$ are collinear, $E,A,C$ are collinear, and $B,A,F$ are collinear.

Original source figure, preserving all mathematical labels and segments.