Henry Ernest Dudeney/Puzzles and Curious Problems/191 - Two Squares in One

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Puzzles and Curious Problems by Henry Ernest Dudeney: $191$

Two Squares in One
Two squares of any relative size can be cut into $5$ pieces, in the manner shown below,
that will fit together and form a larger square.
Dudeney-Puzzles-and-Curious-Problems-191.png
But this involves cutting the smaller square.
Can you show an easy method of doing it without in any way cutting the smaller square?


Click here for solution

Sources