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Question

Which of the following shapes can tile the given rectangle such that no tiles overlap or leave a gap?

A
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B
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C
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Solution

The correct option is B
Let’s tile the given rectangle using the green squares.

We can observe that when the rectangle is tiled using squares, no gap is left.
Let’s tile the given rectangle using the red triangles.

We can observe that when the rectangle is tiled using triangles, there are gaps in between.
Let’s tile the given rectangle using the blue hexagons.

We can observe that when the rectangle is tiled using hexagons, there are gaps in between.

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