No. A triangle is the only rigid polygon.
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Hexagon, heptagon, octagon, nonagon all have more sides than a pentagon
Hexagon
you can make 2 trapezoids
Heptagon, octagon, nonagon, decagon, hendecagon, and dodecagon. There are many more.
There is no standard formula. It is necessary to partition the irregular hexagon into more convenient shapes such as triangles and quadrilaterals, find their areas and sum the results.