Question

In the given figure, ABCD is a parallelogram AE perpendicular to DC and CF perpendicular to AD if AB = 16cm AE = 8cm and CF = 10cm, then find AD.

Answer 1

Area of parallelogram = base \(\times\) height (height is based on which side is taken as base).
Here if DC is considered as base, then the height = AE
Hence, area of parallelogram = $16\times 8=128$ sq cm.
Now, let us consider AD as base and corresponding height is CF = 10 cm.
$\to AD\times 10=128$ sq cm $\times AD=12.8$ cm