MathDB
2012 preRMO p8, triangle area

Source:

June 16, 2019
geometry

Problem Statement

In rectangle ABCD,AB=5ABCD, AB= 5 and BC=3BC = 3. Points FF and GG are on line segment CDCD so that DF=1DF = 1 and GC=2GC = 2. Lines AFAF and BGBG intersect at EE. What is the area of AEB\vartriangle AEB?