MathDB
2001 Stanford Math Tournament Team #1

Source:

May 24, 2014
Stanfordcollegegeometryinequalities

Problem Statement

ABCDABCD is a square with sides of unit length. Points EE and FF are taken on sides ABAB and ADAD respectively so that AE=AFAE = AF and the quadrilateral CDFECDFE has maximum area. What is this maximum area?