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 $r$ .

((4r)^2)/2 ((3r)^3)/2 ((3r)^2)/2 (3r)^2