MathNet 2025 — 50 problems with figures (EN–VI) Question 26

Let $ABC$ be a triangle and $P$ a point inside it. Let $A'$, $B'$, $C'$ be the reflections of $A$, $B$, $C$ from point $P$, respectively. Find the ratio of the areas of the hexagon $AB'CA'BC'$ and the triangle $ABC$.