Square into 2
Geometry
Level
2
I have a square. The square has been divided into 2 regions such that both have the same area.
Must they also have the same perimeter?
Yes
No
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1 solution
One counter-example is this 4 × 4 square that is divided into 2 equal regions of 8 unit squares each:
The blue region has a perimeter of 1 6 but the gray region has a perimeter of 1 2 .