Constructions a quadrilateral PQRS in which `angleQ=45^@ , angleR=90^@ , QR=5cm , PQ=9cm and RS =7cm`

Explanation

Steps of the constructions:
Step I:- Draw the QR=5 cm
Step II:- Construct /_PQR=45@
Step III:- With Q as the center and radius 9 cm, cut off QP=9 cm.
Step IV:- Construct ∠QRS=95@
Step V:- With R as the center and radius 7 cm, cut off RS=7 cm.
Step VI:- Join CD
Since the line segment, PQ and RS intersect each other, the quadrilateral can not be constructed.