Answer
$3.86 \ square \ units$
Work Step by Step
We apply the area formula:
$k=\dfrac{1}{2} a \ b \sin C$
Plug in the given data.
Therefore, $k=\dfrac{1}{2} (3)(4) \sin (40^{\circ})=6 \ \sin (40^{\circ}) \approx 3.86 \ square \ units$
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