İn convex hexagon $ABCDEF$'s diagonals $AD,BE,CF$ intercepts each other at point $O$. If the area of triangles $AOB,COD,EOF$ are $4,6$ and $9$ respectively, find the minimum possible value of area of hexagon $ABCDEF$
Problem
Source: 2017 Azerbaijan Senior National Olympiad
Tags: geometry, area of a triangle, area, convex polygon, minimum value