in a parallelogram pqrs pq= 8 cm and the length of the perpendicular from r to pqis 5.2cm find the area of parallelogram
Answers
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
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