semiregular hexagon area: If GH=2HJ=JK=2KL=LM=2MG and GK = 12, determine perimeter of

wisch

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Part of a puzzle that is beyond my reach...any help appreciated: Semi-regular hexagon GHJKLM is circumscribed by circle O. If GH=2HJ=JK=2KL=LM=2MG and if GK = 12, determine the perimeter of the hexagon.
 
Part of a puzzle that is beyond my reach...any help appreciated: Semi-regular hexagon GHJKLM is circumscribed by circle O. If GH=2HJ=JK=2KL=LM=2MG and if GK = 12, determine the perimeter of the hexagon.
How does your book define "semi-regular" polygons?

When you reply, please include a clear listing of your thoughts and efforts so far, even if you think they're wrong, along with any results (rules, theorems, etc) that you feel might be applicable. Thank you! ;)
 
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