5

Part of 1988 Poland - Second Round

Problems(1)

any rectange coved by 25 circles of r=2, can be covered by 100 circles of R=1?

Source: Polish MO Recond Round 1988 p5

Decide whether any rectangle that can be covered by 25 circles of radius 2 can also be covered by 100 circles of radius 1.

geometryrectangleGeometric Inequalitiescombinatorial geometrycombinatorics