Given a square of length 2m. Its corners are cut such that to represent a regular octagon. Find the length of side of octagon
Choose the correct option
A) 2	B) 3	C) 4	D) 5	E) 7
Let x is the side of the octagon and x + 2y is the side of the square.   In the given octagon, y2+y2=x2⇒2y2=x2⇒y=x2–√y2+y2=x2⇒2y2=x2⇒y=x2   But x2–√+x+x2–√=2x2+x+x2=2   ⇒2–√x+x=2⇒2x+x=2   ⇒x=22–√+1=22–√+1×2–√−12–√−1=2(2–√−1)⇒x=22+1=22+1×2−12−1=2(2−1)   2nswer:2
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Given a square of length 2m. Its corners are cut such that to represent a regular octagon. Find the length of side of octagon