Question

In the figure, ABCD is a parallelogram, AB and BC are equal to 16 cm and 8 cm, respectively. If DF = 6 cm, what is the value of BE?

• A. 8 cm
• B. 12 cm
• C. 10 cm
• D. 16 cm

Answer 1

The correct option is B 12 cm

Given
$BC=8cm$
We know that, area of a parallelogram
$=Base\times Height$
$=AB\times DF$
Since, $AD$ and $BE$ are also base and height respectively, we get,
$AB\times DF=AD\times BE$

Putting the values of $AB$ and $DF$
$AB\times DF=16cm\times 6cm$
$=96c{m}^2$
$\therefore AD\times BE=96c{m}^2$

Putting the value of $AD$,
$BE\times 8cm=96c{m}^2$
$\therefore BE=12cm$