MathDB
AIME Hexagon

Source: 2006 AIME II 1

March 28, 2006
geometryrectangleAMCAIME2006 AIME II

Problem Statement

In convex hexagon ABCDEFABCDEF, all six sides are congruent, A\angle A and D\angle D are right angles, and B\angle B, C\angle C, E\angle E, and F\angle F are congruent. The area of the hexagonal region is 2116(2+1)2116(\sqrt{2}+1). Find ABAB.