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): $7$