Equilateral triangles I, II, Ill and IV ...

Equilateral triangles I, II, Ill and IV are such that the altitude of triangle I is the side of triangle II, the altitude of triangle II is the side of triangle Ⅲ and the altitude of the triangle is the side of triangle IV. If the area of triangle `I` is 2 `cm^2`, then the area (in` cm^2`) of triangle IV is:

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