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