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Math·Geometry and Trigonometry·Lines, angles, and triangles

hard

The line segment shown in the xy-plane represents side $JK$ of isosceles triangle $JKL$, where side $JL$ is congruent to side $KL$. The perimeter of this triangle is $11\sqrt{13}$ units. What is the length, in units, of side $JL$ of this triangle?

A

$\sqrt{13}$

B

$3\sqrt{13}$

C

$4\sqrt{13}$

D

$8\sqrt{13}$