Answer
The area of the triangle is approximately $\text{10 square meters}$.
Work Step by Step
Area of the triangle $=\frac{1}{2}ac\sin C$
Putting the values in the formula, we get
$\begin{align}
& \frac{1}{2}ac\sin C=\frac{1}{2}\left( 4 \right)\left( 6 \right)\left( \sin 124{}^\circ \right) \\
& \approx 10
\end{align}$
The area of the triangle is approximately $10$ square meters.
