Answer
$10.7 \text{units}^2 $
Work Step by Step
When the two sides let's say a and b and the angle C are given, then the area $\bf{A}$ can be calculated as:
$A=\dfrac{1}{2} ab \sin \text{C}$
From the given figure, we have: $ a= 2.4; b = 9.0 ; C= 98^{\circ}$
$A=\dfrac{1}{2} (2.4) (9.0) \sin 98^{\circ} \approx 10.7 \text{units}^2 $
