Rectangle Divided into Differently Shaped Equal Area Subrectangles

Theorem

Let $R$ be a rectangle.

Let $R$ be divided into $n$ smaller rectangles which are of equal area but with different lengths of sides.


Then $n \ge 7$.


Proof


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Sources

  • 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $7$
  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $7$
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