Question

In parallelogram ABCD, AB = 8 cm, BC = 6 cm and angle ABC = 45 degree, find the area of parallelogram ABCD​

Answer 1

Answer:

⇒ Draw a line segment AB = 6cm.

⇒ Construct an angle of 60

∘

at point B.

⇒ Cut off BC = 4cm.

⇒ We know that adjacent angles of parallelogram are supplementary then, construct an angle of 120

∘

at point A and C which meet at point D.

⇒ Thus, ABCD is a required parallelogram.

⇒ Let AB=a=6cm and BC=b=4cm --- ( 1 )

⇒ Perimeter of parallelogram ABCD=2(a+b)

⇒ 2(6+4) [From( 1 )]

∴ Perimeter of parallelogram ABCD=20cm.

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