MathDB
2013-2014 Fall OMO #25

Source:

October 30, 2013
Online Math Opengeometryperimeterfunctioncalculusinequalitiesgeometric transformation

Problem Statement

Let ABCDABCD be a quadrilateral with AD=20AD = 20 and BC=13BC = 13. The area of △ABC\triangle ABC is 338338 and the area of △DBC\triangle DBC is 212212. Compute the smallest possible perimeter of ABCDABCD.
Proposed by Evan Chen
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