Trapeziod.I.U.M


PQRS is a trapezoid where $PQ \parallel SR$ , $\angle PQR = 60^\circ$ and $\angle QPS = 30^\circ$ .  If $PQ = 2026$ and $SR = 1212$ , then the area of the quadrilateral $PQRS$ can be written in the form $ \frac{a\sqrt{b+1}}{b} $. where $a, b$ are integers. What is the value of $a+b$?


Geometry  


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