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 the $\triangle CBH,$ if $\triangle CBH \sim \triangle FEH$, $ADEG$ is a parallelogram, $CH=7$, $FH=10, FE=11$, and $EH=6$. Rounded to the nearest tenth.