CAT 2025 Geometry & Mensuration — Previous Year Question

ABCD is a trapezium in which AB is parallel to ( \mathrm { DC } , \mathrm { AD } ) is perpendicular to AB , and ( \mathrm { AB } = 3 \mathrm { DC } ). If a circle inscribed in the trapezium touching all the sides has a radius of 3 cm , then the area, in sq. cm , of the trapezium is