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Explorable Explanations

Counter Cutting Puzzle

Cut a 6×6 grid into 4 congruent pieces, each holding one black and one white counter

Observe the board

Start with the 6×6 board: 4 black counters and 4 white counters.

Select grid squares to find a complete piece. Your selection is shown in violet.

Area of every piece

36 ÷ 4 = 9

The area condition tells us what every congruent piece must have before drawing a cut.