ANSWER
![269m^2](https://img.qammunity.org/2023/formulas/mathematics/college/ptgud7h4p909d0n3a0qi4bbknma2etloby.png)
Step-by-step explanation
We want to find the area of the triangle given.
To do that, we have to apply the formula of the area of a triangle given 2 sides and an included angle:
![A=(1)/(2)\cdot a\cdot b\cdot\sin C](https://img.qammunity.org/2023/formulas/mathematics/college/w2bov26durpvts1t45yvrudypvcdb2jlt9.png)
where a and b are the sides and C is the included angle.
Therefore, the area of the triangle is:
![\begin{gathered} A=(1)/(2)\cdot46\cdot19\cdot\sin 38 \\ A\approx269m^2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/e1kfwklgq37mre1e9a780bbacxq6t2gcye.png)