VTMO 2026 - Grade 8 - Semifinal - SET 10 - Self-study Question 1

The cevians $AD,BE,CF$ of triangle $ABC$ concur at $O$. The marked triangle areas are $[AOE]=54$, $[COE]=18$, $[BOD]=100$. All given areas are in square centimetres. Find $[ABC]$ in square centimetres.