MathDB
Putnam 2000 A3

Source:

September 6, 2011
Putnamgeometryrectangleanalytic geometryquadraticsgeometric transformationreflection

Problem Statement

The octagon P1P2P3P4P5P6P7P8P_1P_2P_3P_4P_5P_6P_7P_8 is inscribed in a circle with the vertices around the circumference in the given order. Given that the polygon P1P3P5P7P_1P_3P_5P_7 is a square of area 55, and the polygon P2P4P6P8P_2P_4P_6P_8 is a rectangle of area 44, find the maximum possible area of the octagon.
Back to ProblemsView on AoPS