Question

Sides of the parallelogram $ABCD$ are $5cm$ and $3cm$. The height corresponding to the base $CD$ is $4cm$. Find the height corresponding to the base $AD$.

• A. $4cm$
• B. $6.67cm$
• C. $3cm$
• D. $5cm$

Answer 1

The correct option is B $6.67cm$


Given: Base $=5cm$ and height $=4cm$

Area of a parallelogram $=$ Base $\times$ Height

$=5\times 4$

$=20c{m}^2$

The area will be same if calculated using other base.

Base $AD=3cm$, Height corresponding to $AD=?$

Area of the parallelogram $=$ Base $\times$ Height

$20=3\times$ Height

$\frac{20}{3}=\frac{3}{3}\times$ Height

$6.67cm=$ Height