Question

Can we construct?(say,yes/No):
parallelogram ABCD, given AB = 5 cm. (ii) Trapezium PQRS, given PQ || SR, PQ = 6 cm and SR = 4 cm. (111) Rectangle ABCD, given AB = 5 cm and AD = 4.5 cm​

Answer 1

Answer:

yes we can construct

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