Hexagon Area

Geometry Level 4

Let ABCDEF ABCDEF be a regular hexagon with side length equal to 44. Let A,B,C,D,EA’, B’, C’, D’, E’ and FF’ be the midpoints of AB,BC,CD,DE,EFAB, BC, CD, DE, EF and FAFA , respectively. Let the area of ABCDEFA’B’C’D’E’F’ be XX. What is the value of X2 X^2 ?

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