MathDB
HMMT Geometry 2019/4: Hexagon with three areas

Source:

February 17, 2019
HMMTgeometry

Problem Statement

Convex hexagon ABCDEFABCDEF is drawn in the plane such that ACDFACDF and ABDEABDE are parallelograms with area 168. ACAC and BDBD intersect at GG. Given that the area of AGBAGB is 10 more than the area of CGBCGB, find the smallest possible area of hexagon ABCDEFABCDEF.
Back to ProblemsView on AoPS