# Shyan's hexagon

Geometry Level 4

Let $$ABCDEF$$ be an equiangular hexagon with perimeter $$98$$ such that $$EF=2 CD=4 AB$$ and $$BC=2 FA$$. What is the length of $$EF$$?

This problem is posed by Shyan A.

Details and assumptions

An equiangular polygon is a polygon whose interior angles are all equal.

×