1. Draw a line segment of length s. Label its endpoints PPP and QQQ.
2. Extend the line segment past QQQ.
3. Erect the perpendicular to PQ−→−normal-→PQ {PQ} at QQQ
4. Using the line drawn in the previous step, mark off a line segment of length sss such that one of its endpoints is QQQ. Label the other endpoint as RRR.
5. Draw an arc of the circle with center PPP and radius PQ normal PQ\ {PQ}.
6. Draw an arc of the circle with center RRR and radius QR normal QR\overline{QR} to find the point SSS where itintersects the arc from the previous step such that S≠QSQS\neq Q.
7. Draw the square PQRSPQRSPQRS.