2006 AIME A Problems/Problem 1
Revision as of 02:02, 6 November 2006 by I_like_pie (talk | contribs)
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
.
Therefore, AB is 46.