Problem 13 · 2019 Math Kangaroo
Hard
Spatial & Visual Reasoning
tiling-tessellation

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Answer: E — Square E.
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Hint 1 of 2
The two given pieces have a fixed number of black and white cells; any buildable square must match that count.
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Hint 2 of 2
Try to tile each option with the two pieces; one of them is impossible.
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Approach: match piece shapes and shading to each target
- The two pieces together cover the 16 cells of a 4×4 square with a fixed pattern of black and white cells.
- Four of the option squares can be assembled from the two pieces (allowing rotation).
- Square E has a black/white arrangement the two pieces cannot produce.
- So the answer is E.
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