UPSC CDS I 2025 Mathematics Paper

Given:
Adjacent sides of a parallelogram: 10 cm and 8 cm
Angle between them: 150∘
Formula used:
Area of parallelogram =a×b×sin‌(θ)
Where:
a= one side, b= adjacent side, θ= angle between sides
Calculation:
Area =10×8×sin‌(150∘)
⇒sin‌(150∘)=sin‌(30∘)=1∕2
⇒ Area =10×8×(1∕2)
⇒ Area =40cm2