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Explanation:

ABCDEF is a hexagon with side 1 cm. Let us construct the diagram as shown below

Now if we look at triangle ABC 

Further, as AB = BC, △ABC will become a 120° - 30° - 30° triangle and the ratio of it’s sides. (∵ ∠ABC is an angle of regular hexagon ABCDEF)

will be √3 : 1 : 1.

Now $\frac{AC}{AB}=\frac{\sqrt{3}}{1}$

∴ AC = √3 units

Area of square with side AC = (√3)² = 3 sq.units

Hence, option (b).