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

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CAT 2025 Slot 3 QA · Question 3

ABCD is a trapezium in which AB is parallel to $DC, AD$ is perpendicular to AB , and $AB = 3 DC$ . 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

A.
$362$
B.
$54$
C.
$48$
D.
$303$

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