Question

Construct a parallelogram PQRS in which PQ- 7cm PR- 10 cm and QS- 8cm

Answer 1

answer and step by step explanation is in attachments

Answer 2

⇒  We know that opposite sides and angle of parallelogram are equal.

⇒  And adjacent angles of parallelogram are supplementary. By using these properties we are going to construct a parallelogram.

⇒  Draw a line segment PQ=5cm

⇒  Construct an angle of 70^∘ at point Q.

⇒  Cut off QR=4cm

⇒  Construct an angle of 110^∘ at point P.

⇒  Cut off PS=4cm

⇒  Join RS

⇒  Thus PQRS is a required parallelogram

⇒   Let a=5cm  and b=4cm

⇒   Perimeter of parallelogram PQRS=2(a+b) =2(5+4)=18

⇒  The perimeter of parallelogram PQRS=18cm