Similar Pentagon Areas Part 2

Geometry Level 2

Let a pentasquish be a pentagon with the following properties:

  • Two non-adjacent right angles
  • All sides congruent

If the area of a pentasquish is (a+bc)s2 \left(a+\dfrac{\sqrt{b}}{c} \right)s^2, where ss is the length of one of the sides, and aa, bb, and cc are positive integers with bb square-free, find a+b+ca+b+c.


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