Horrible Hexagons 1

Geometry Level 3

The diagram above shows a regular hexagon \({ H }_{ 1 }\) with two equilateral triangles inscribed in it.

If the shaded region has area \(x\) \(\text{ unit}^{ 2 }\), what is the area of \({ H }_{ 1 }\) in terms of \(x\)?

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