The polygon circumscribes the circle. What is the perimeter of the polygon?

Answer:
The perimeter of the polygon is [tex]66\ cm[/tex]
Step-by-step explanation:
see the attached figure with letters to better understand the problem
we know that
If the polygon circumscribes the circle
then
AB=AH
GH=GF
EF=ED
CB=CD
therefore
the perimeter is equal to
[tex]P=2(9+12+4+8)=66\ cm[/tex]