VTMO 2026 - Grade 7 - Semifinal - SET 4 - Self-study Question 7

Points $A,B,C$ lie in that order on a straight line, with $AB=2$ and $BC=1$. Points $D,E$ are on the same side of line $BC$, and triangles $ABD$ and $BCE$ are equilateral. Find the area of quadrilateral $ADEC$.