Question

• 1)Construct a parallelogram PQRS such that l(SR)=5.5cm, l(PS)= 4cm, m ∠S= 50°

,

• and find m∠P .

• 2) Show the number 8 on the number line .

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Answer 1

$\huge\mathfrak\green{Answer}$

⇒

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