Henry Ernest Dudeney/Puzzles and Curious Problems/215 - The Damaged Rug

Puzzles and Curious Problems by Henry Ernest Dudeney: $215$

The Damaged Rug

A lady had a valuable Persian rug, $12$ feet by $9$ feet, which was badly damaged by fire.

So she cut from the middle a strip $8$ feet by $1$ foot, as shown in the diagram,

and then cut the remainder into two pieces that fitted together

and made a perfectly square rug $10$ feet by $10$ feet.

How did she do it?

Of course, no allowance is to be made for turnings.

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Geometrical Problems: Various Geometrical Puzzles: $215$. -- The Damaged Rug
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Geometrical Problems: Dissection Puzzles: $360$. The Damaged Rug