Question

The ratio of two adjacent sides of a parallelogram is $2:3$ and its perimeter is $50cm$. Find its area if altitude corresponding to large side is $10cm$.

Answer 1

Given:The ratio of adjacent sides of a parallelogram is $2:3$

Let the lengths of the adjacet side be $2x$ and $3x$ respectively.

Also,perimeter$=50$cm

$\Rightarrow 2(2x+3x)=50$cm

$\Rightarrow 10x=50$cm

$\Rightarrow x=\frac{50}{10}=5$cm

Thus, the adjacent sides of parallelogram are $10$cm and $15$cm

Hence area$=15\times 10=150{cm}^2$