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.


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