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IMSO 2023 — Mathematics Exploration Question 6

IMSO Maths · IMSO 2023 — Mathematics Exploration

Question 6

A $5\times5$ square grid with a unit-square hole at the center can be cut along grid lines into 4 congruent pieces (the same shape and size). The central hole allows each piece to have area 6 square units.

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The following is one way to do this. Sketch ALL other possible ways, excluding the example. Two ways are equivalent if one can be obtained from the other by a rotation or reflection.

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