# What would this make 'Rhombus with in two circle'?

Geometry Level 3

A rhombus is inscribed in the region common to the two circles $$x^2 + y^2 – 4x -12 = 0$$ and $$x^2 + y^2 + 4x – 12 = 0$$ with two of its vertices's on the line joining the center of the circles. The area of the rhombus can be expressed as$$a\sqrt {b}$$.Find the sum of $$a+b$$

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