Henry Ernest Dudeney/Puzzles and Curious Problems/211 - The Twenty Matches/Solution

Puzzles and Curious Problems by Henry Ernest Dudeney: $211$

The Twenty Matches

The diagram shows how $20$ matches, divided into two groups of $14$ and $6$,

may form two enclosures so that one space enclosed is exactly $3$ times as large as the other.

Now divide the $20$ matches into two groups of $13$ and $7$,

and with them again make two enclosures,

one exactly three times as large as the other.

Solution

Also see

• $335$ - Three Times the Size, in the same collection

As Dudeney points out:

There are other solutions.

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Solutions: $211$. -- The Twenty Matches
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Answers: $496$. The Twenty Matches