Hexagon Area

Geometry Level 4

Let \( ABCDEF \) be a regular hexagon with side length equal to \(4\). Let \(A’, B’, C’, D’, E’\) and \(F’ \) be the midpoints of \(AB, BC, CD, DE, EF\) and \(FA \), respectively. Let the area of \(A’B’C’D’E’F’ \) be \(X\). What is the value of \( X^2 \)?

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