A square, whose side is 2 m, has its corners cut away so as to form an octagon with all sides equal. Then the length of each side of the octagon, in metres, is ?->(Show Answer!)

1. A square, whose side is 2 m, has its corners cut away so as to form an octagon with all sides equal. Then the length of each side of the octagon, in metres, is

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By: anil on 05 May 2019 02.31 am

Let the length of each side of the octagon be x. So, length of the square will be x+2*(x/√2) = 2 => x(1+√2) = 2 => x = 2/(1+√2)

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