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Question from Katie, a student:

Hi i have to find the area of a hexagon with only the side length 2cm given
would you be able t help?

Katie,

Unless you have more information there are multiple answers possible:

regular

irrregular

irrregular

Perhaps the added assumption is that the hexagon is 'regular' - all angles are the same. If this is the condition, then the interior angles are 120 degrees and there is a unique area. This happens also to be the hexagon with the largest area for the given equal side lengths.

Walter Whiteley

 

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