Tricky Trapezium

Geometry Level pending

In a trapezium $$ABCD$$, $$AB$$ is parallel to $$CD$$ and $$AB$$ is less than $$CD$$. Angle $$ADC$$ is equal to 90 and $$AB$$ is equal to $$3r/2$$ (where $$r$$ is the radius of a circle inscribed in the trapezium). Find the area of the trapezium in terms of $$r$$.

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