Question

In parallelogram $ABCD,AB=20cm,BC=16cm,AE\perp DC,AF\perp BC$. If $AE=5.6cm$, find the length of $AF$.

Answer 1

We have,

$AB=20cm$

$BC=16cm$

$AE=5.6cm$

$AF=?$

Area of parallelogram $ABCD=AB\times AE=BC\times AF$

So,

$20\times 5.6=16\times AF$

$5\times 5.6=4\times AF$

$5\times 1.4=AF$

$AF=7cm$

Hence, this is the answer.