What is the area of the whole hexagonal shape?

Can your students generalize this result?

Source:

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Farmer has 3 square fields & 4 triangular fields. What is the entire area of his estate? http://t.co/R8IyU2iyYF pic.twitter.com/3yEdcBrw3N
— Cliff Pickover (@pickover) May 19, 2015
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