The corners of a square with side 12 is cut away to form an octagon with all sides equal. What is the length of a side of the octagon so formed?

A. \({12 \over 1+2 \sqrt 2}\)
B. \({10 \sqrt 2\over 1 + \sqrt 3}\)
C. \({1-2\sqrt 3\over 2 + \sqrt 5}\)
D. \({12 \over 1+ \sqrt 2}\)

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