To find the perimeter of triangle JKL:
1. Find the length of side JL.
Triangle JKL and triangle GHI are similar triangles: the ratio between corresponding sides in similar triangles is the same:
[tex]\begin{gathered} \frac{JL}{GI}=\frac{JK}{GH}=\frac{KL}{HI} \\ \\ \frac{JL}{GI}=\frac{JK}{GH} \\ \\ JL=GI(\frac{JK}{GH}) \\ \\ x=16(\frac{29}{20}) \\ \\ x=23.2 \end{gathered}[/tex]
2. Sum the length of three sides of triangle JKL to find the perimeter:
[tex]\begin{gathered} P=JL+JK+KL \\ \\ P=23.2+29+30.5 \\ \\ P=82.7 \end{gathered}[/tex]
Then, the perimeter of the triangle JKL is 82.7 units
