I have the answer just want to check with a professional

Statement Problem: Find the lateral surface area of the triangular prism unfolded into the net shown in the image.
Solution:
The lateral surface area of any solid is the product of the perimeter of its base and height.
[tex]\begin{gathered} A_l=(a+b+c)h \\ \text{Where a,b,c are the sides of the base, h=height of the prism;} \\ A_l=(3.1+6+5.1)15 \\ A_l=14.2\times15 \\ A_l=213yd^2 \end{gathered}[/tex]