Question

If 3,5 be the distances between the parallel sides and ${30}^0$ is the angle between two adjacent sides a parallelogram then its area

• A. $15/2$
• B. $15$
• C. $30$
• D. $15/4$

Answer 1

The correct option is A $15/2$

Given:-

Let $ABCD$ be a parallelogram.

$AB=3$

$AD=5$

Angle between two adjacent sides $\left(\theta \right)=30°$

Therefore,

Area of parallelogram $=AB\times Ad\times \sin \theta$

$\Rightarrow$ Area of parallelogram $=3\times 5\times \sin 30°=\frac{15}{2}$

Thus the area of parallelogram is $\frac{15}{2}$.

Hence the correct answer is $\left(A\right)\frac{15}{2}$.