Answer: 35
Step-by-step explanation:
1. By definition, the perimeter of a triangle is the sum of the lenght of each side.
2. Then, the perimeter of the triangle LMK is:
[tex]P_{LMK}=14+17+11\\P_{LMK}=42[/tex]
3. If both triangles are congruent and the scale factor is 5:6 (Which you can rewrite as a fraction: 5/6), you must multiply the perimeter of the triangle LMK by this scale factor.
4. Then, you have that the perimeter of the triangle GHJ is:
[tex]P_{GHJ}=42*\frac{5}{6}=35[/tex]
