15

Part of 2009 Baltic Way

Problems(1)

Unit square cut into m quadrilaterals inequality

Source: Baltic Way 2009

A unit square is cut into

m

Q_1,\ldots ,Q_m

i=1,\ldots ,m

S_i

be the sum of the squares of the four sides of

Q_i

S_1+\ldots +S_m\ge 4

inequalitiesgeometrygeometry proposed