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

by : $191$

 * Two Squares in One

Solution

 * Dudeney-Puzzles-and-Curious-Problems-191-solution.png

Place the two squares together so that $AB$ and $CD$ are straight lines.

Locate the centre point of the larger square.

Draw $AD$

Draw $EF$ and $GH$ through that centre point parallel to and perpendicular to $AD$ respectively.

Then you can cut out pieces $1$, $2$, $3$ and $4$, which, together with the smaller square $5$, fit together to form the big square of side $AD$.