# Regular Partitioning

Geometry Level 3

In a regular hexagon $$ABCDEF$$, points $$W$$, $$X$$, $$Y$$, and $$Z$$ are on sides $$CD$$, $$BC$$, $$AF$$, and $$EF$$, respectively, in a way such that $$AB$$, $$WZ$$, $$XY$$, and $$ED$$ are parallel and equidistant. If the side length of $$ABCDEF$$ is 1, what is the area of hexagon $$WCXYFZ$$?

×