Co-relating moments of inertia with geometry.

An equilateral triangular plate has side length \(a\), and the moment of inertia about the axis shown is \(I\).

A regular hexagonal plate has side length \(2a\), and the moment of inertia about the axis shown can be given as a constant multiple of \(I\): \(k I\).

What is \(k?\)

Note: Assume both plates have negligible thickness.

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