In hexagon SQUARE, all sides have length 10, ∠Q and ∠R are right angles, and ∠S ∼= ∠U ∼= ∠A ∼= ∠E. Given that the area of SQUARE in simplest form is uniquely expressible as p + q√r, where p and q are integers and r is a prime, compute p+q+r
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