2006 AIME A Problems/Problem 1
Problem
In convex hexagon , all six sides are congruent,
and
are right angles, and
and
are congruent. The area of the hexagonal region is
Find
.
Solution
Let the side length be called .
Then .
The diagonal .
Then the areas of the triangles AFB and CDE in total are ,
and the area of the rectangle BCEF equals
Then we have to solve the equation
.
The answer is therefore 046.