VTMO 2026 - Grade 8 - Semifinal - SET 07 - Self-study Question 19

Points $B,C,D$ are collinear in that order, with $BD=6CD$. Equilateral triangles $ABC$ and $ECD$ lie on the same side of $BD$. If the area of triangle $ACE$ is $5$, find the area of quadrilateral $ABDE$.