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Home»Science»Math Puzzle: Build a Square
Science

Math Puzzle: Build a Square

January 22, 2025No Comments1 Min Read
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A group of squares in a grid arrangement forms an irregular shape.

Divide this image into three parts that can fit into a square. The pieces should not be folded to make their current towards the front, they should not overlap, and there should be no gaps in the square.

For simplicity, let’s assume that the small squares have a side length of 1. The figure is made up of 25 small squares, so the final square must have a side length of 5. In this case, small 5 × 5 squares are available, but there is no proper way to separate them along the grid lines. The instructions, however, do not prohibit cuts that do not pass through the square grid. Using the Pythagorean theorem, it can be confirmed that the two diagonal cuts below have a length of 5.

The irregular shape is divided into three parts using diagonal cuts, and the pieces are rearranged to form a square.

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This puzzle appeared first the spectrum of science and reproduced with permission.



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