MathDB
Area of 12-gon

Source: Moscow mathematic olympiad 2022, Day 2 P11.3

September 29, 2022
geometry

Problem Statement

In a convex 1212-gon, all angles are equal. It is known that the lengths of some 1010 of its sides are equal to 11, and the length of one more equals 22. What can be the area of ​​this 1212-gon?