MathDB
Easy

Source: Iran 2004

September 18, 2004
geometryperimeterinequalitiesratiorectanglegeometry proposed

Problem Statement

Suppose FF is a polygon with lattice vertices and sides parralell to x-axis and y-axis.Suppose S(F),P(F)S(F),P(F) are area and perimeter of FF. Find the smallest k that: S(F)≤k.P(F)2S(F) \leq k.P(F)^2
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