Q3 of 31 Page 110

The sides of a parallelogram are 8 centimetres and 12 centimetres and the angle between them is 50°. Calculate its area.

Let us draw a perpendicular from D on AB say DH ⇒ DH ⊥ AB



In Δ ADH,


DH = sin 50° × AD


(From table: sin 50° = 0.776)


⇒ DH = 0.776 × 8 cm


⇒ DH = 6.208 cm


Area of parallelogram = Base × Height


Area = 12 × 6.208 cm2


Area = 74.496 cm2


Area of parallelogram is 74.496 cm2.


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