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Comparing Pig Pens

An investigation inspired by Cyberchase episode 202: Totally Rad Watch it here: http://pbskids.org/cyberchase/videos/#!/seasons-1-9/2 This sketch visualizes 2 polygons made out of equal length sides. What shape has the maximum area? Note for the 2nd shape, it's up to you to get the last point to meet up with the first.