PUTNAM PRACTICE PROBLEMS
GEOMETRY
2) (A-3-2000) The octagon P1P2P3P4P5P6P7P8 is inscribed in a circle, with the vertices around the circumference in the given order. given that the polygon P1P3P5P7 is a square of area 5 and the polygon P2P4P6P8 is a rectangle of area 4, find the maximum possible area of the octagon.