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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