Question

Construct a quadrilateral PQRS, when PQ = 4 cm, QR = 3 cm, QS = 4.8 cm, PS = 3.5 and PR = 5 cm.

Answer 1

Steps of construction:

1. Draw PQ = 4 cm as base.

2. With P as centre and radius 5 cm draw an arc.

3. With Q as centre, draw another arc QR = 3 cm.

These arcs intersect at R.

4. With centre P, draw an arc SP = 3.5 cm and with centre Q draw an arc QS = 4.8 cm. 

These arcs intersect at point S. Join QR, RS, SP, PR and SQ.

Hence, PQRS is required quadrilateral.