Let ABCDABCD be an isosceles trapezoid with AD=BC=15AD=BC=15 such that the distance between its bases ABAB and CDCD is 77. Suppose further that the circles with diameters AD‾\overline{AD} and BC‾\overline{BC} are tangent to each other. What is the area of the trapezoid?

(CMIMC 2016)

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