In a parallelogram opposite sides are equal and diagonals bisect each other.

Steps of construction:

Step I: Draw QS = 8.2 cm

Step II: With Q as the center and radius 4.1 cm, draw an arc on QS intersecting it at O.

Step III: With O as the center and radius 3.4 cm, draw an arc above and below QS.

Step IV: With Q as the center and radius 5.2 cm draw an arc intersecting the previous arc above QS at P.

Step V: With S as the center and radius 5.2 cm, draw an arc to intersect the arc below QS at R.

Step VI: Join QR, QP, PS, and SR.

PQRS is the required quadrilateral.