# Overlapping Figures

Geometry Level pending

There are 5, not necessarily identical, 2D figures each with area 1 placed inside a bigger 2D figure with area 3. The areas of overlap between any two figures cannot all be less than $$x$$. If the maximum possible value of $$x$$ is $$\frac{a}{b}$$, where $$a$$ and $$b$$ are positive coprime integers, what is $$a+b$$?

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