Question

$DF$ and $BE$ are the height on sides $AB$ and $AD$ respectively in parallelogram $ABCD$. If the area of the parallelogram is $1470c{m}^2,AB=35cm$ and $AD=49cm$, find the length of $BE$ and $DF$.

• A. $42cm;30cm$.
• B. $2cm;30cm$.
• C. $42cm;3cm$.
• D. None of these

Answer 1

The correct option is A $42cm;30cm$.

Given: Area of parallelogram $=1470c{m}^2,AB=35cm$ and $AD=49cm$

To find: $BE$ and $DF$

Solution: Area of parallelogram $=1470c{m}^2$

$\Rightarrow AB\times DF=1470$

$\Rightarrow 35\times DF=1470$

$\Rightarrow DF=\frac{1470}{35}$

$\Rightarrow DF=42cm$

Again, Area of parallelogram $=1470c{m}^2$

$\Rightarrow AD\times BE=1470$

$\Rightarrow 49\times BE=1470$

$\Rightarrow BE=\frac{1470}{49}$

$\Rightarrow BE=30cm$

Hence, $\text{A}$ is the correct option.