AMC 10 Step by Step
Log inSign up
Printable

2001 AMC 10 Problem 20

Include the solutionBack to the problem
2001 AMC 10 Problem 20AMC 10 Step by Step
Name:                             Date: September 13, 2026
Angles & Polygons · difficulty 3 of 5 · about 3 min · position P16-20

A regular octagon is formed by cutting an isosceles right triangle from each of the corners of a square with sides of length 20002000 . What is the length of each side of the octagon?

  1. A)

    13(2000)\frac{1}{3}(2000)

  2. B)

    2000(2−1){2000(\sqrt{2}-1)}

  3. C)

    2000(2−2){2000(2-\sqrt{2})}

  4. D)

    1000{1000}

  5. E)

    10002{1000\sqrt{2}}

Working