Six regular octagons each with sides of length 2 are placed in a twobythree array and inscribed in a square as shown. The area of the square can be written in the form m + n\sqrt{2} where m and n are positive integers. Find m + n.
Source: Purple Comet Math Meet, 2008, High School Round
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Zach Marinovhttps://etonstem.com/author/zach

Zach Marinovhttps://etonstem.com/author/zach

Zach Marinovhttps://etonstem.com/author/zach

Zach Marinovhttps://etonstem.com/author/zach
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