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If the perimeter of the hexagon is 24 cm and it is regular, then each side has the same length, namely 24/6 or 4.

Now that is also the length of each side of the octagon since they share a common side so its perimeter is 8x4=32 cm.

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Why do you think is the reason why spiers build their webs in a polygonal shape rather that rectangular?

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Q: A regular hexagon and a regular octagon share a common side If the perimeter of the hexagon is 24 cm what is the perimeter of the octagon?
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