Answer
$3$
Work Step by Step
We apply the area formula:
$k=\dfrac{1}{2} b \ c \sin A$
Plug in the given data.
$k=\dfrac{1}{2} (4)(3) \sin (30^{\circ})=(\dfrac{1}{2}) (4)(3) ( \dfrac{1}{2}) =3$ $[\because \sin 30^{\circ}=\dfrac{1}{2}]$
Thus, the answer is $3$.