Problem 14 · 2017 Math Kangaroo
Medium
Spatial & Visual Reasoning
tiling-tessellationgrid
Ben wants to cut out two identical pieces out of the 4 × 3 grid. For which of the following shapes can he not achieve that?
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Answer: A
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Hint 1 of 2
For each shape, try to place two non-overlapping copies inside the 4 x 3 grid.
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Hint 2 of 2
One shape is just too big or awkward to fit twice; that is the answer.
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Approach: test fitting two copies of each shape in the 4 x 3 grid
- The grid has 4 x 3 = 12 little squares.
- For four of the shapes, two copies can be arranged without overlap inside the grid.
- One shape cannot be placed twice without going outside or overlapping.
- That impossible shape is A.
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