Solve the following math problem step by step. The last line of your response should be of the form Answer: \boxed{$Answer} where $Answer is the answer to the problem.

<image>Find the perimeter of $\triangle C B H,$ if $\triangle C B H \sim \triangle F E H, A D E G$ is a parallelogram, $C H=7, F H=10$, $F E=11,$ and $E H=6$.