Answer
$20.25 \ ft^2$
Work Step by Step
$ST=\sqrt 2 RS \implies 9=\sqrt 2 RS$
or, $RS=\dfrac{9}{\sqrt 2}$
$RS=RT$, so we can write the area as:
$Area=\dfrac{1}{2}(\dfrac{9}{\sqrt 2})(\dfrac{9}{\sqrt 2})=20.25 \ ft^2$
Therefore, the correct option is $\bf{B}$.