Question

Construct a parallelogram POUR in which PO = 5.5 cm, OU = 7.2 cm and $\angle O={70}^{\circ }$.

Answer 1

Since,

We have ,
PO = RU = 5.5 cm, OU = RP = 7.2 cm
(Since the opposite sides of a parallelogram are equal)

Steps of Construction
Step I: Draw PO = 5.5 cm.
Step II: Construct $\angle POX={70}^{\circ }$.
Step III: With O as centre and radius OU = 7.2 cm, draw an arc.
Step IV: With U as centre and radius UR = 5.5 cm, draw an arc.
Step V: With P as centre and radius PR = 7.2 cm, draw an arc to cut the arc drawn in Step IV.
Step VI: Join PR and UR.
Hence, POUR is the required parallelogram.