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2001 AMC 10 Question 20

AMC10 · 2001 AMC 10

Question 20

A regular octagon is formed by cutting an isosceles right triangle from each of the corners of a square with sides of length $2000.$ What is the length of each side of the octagon?
  1. $\dfrac13(2000)$
  2. $2000(\sqrt2-1)$
  3. $2000(2-\sqrt2)$
  4. $1000$
  5. $1000\sqrt2$