To find the perimeter of triangle JKL, we simply add the lengths of all three sides:
- \( JK = \sqrt{61} \)
- \( LK = 5 \)
- \( JL = 6 \)
Now, we can add these lengths together:
\[ \text{Perimeter} = JK + LK + JL = \sqrt{61} + 5 + 6 \]
Combining the lengths gives:
\[ \text{Perimeter} = \sqrt{61} + 11 \]
This represents the perimeter of triangle JKL in simplest radical form:
\[ \text{Perimeter} = 11 + \sqrt{61} \]
Among the options you provided, the correct answer is:
11 + \sqrt{61}.