Problem

Christmas Contest - Team Round - Problem 7

A unit square is drawn with vertices A,B,C,D. Denote the midpoint of side AD by E and the midpoint of side BE as F. Let the area of quadrilateral DFBC be \tfrac{a}{b} where \gcd(a,b)=1. Find 100a+b


Show/Hide Problem Tags

Problem Tags: 2-d Geometry Number theory

Want to contribute problems and receive full credit? Click here to add your problem!
Please report any issues to us in our Discord server
Go to previous contest problem (SHIFT + Left Arrow) Go to next contest problem (SHIFT + Right Arrow)