Question

construct a parallelogram pqrs in which PQ = 5.4 CM OR = 3.8 cm and angle P = 75 degree​

Answer 1

Answer:

Step-by-step explanation:

⇒  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