1. The problem statement, all variables and given/known data Show that it is possible to cut any convex polygon into 4 pieces of equal areas by using two cuts perpendicular to each other. 2. Relevant equations None, it's just a proof I found on the back of my book. The relevant chapter is Continuity, the maximum principle, and intermediate value theorem for real analysis. 3. The attempt at a solution I have no idea! Can someone tell me how to approach this please? Thanks!