Question

In the adjoining figure, $PQRS$ is a parallelogram. Find $x$ and $y$ in $cm$

Answer 1

In a parallelogram, we know that the diagonals bisect each other.
Therefore $SO=OQ$.
This given $16=x+y$.
Similarly, $PO=OR$,
$20=y+7$. We obtain
$y=20-7=13cm$.
Substituting the value of $y$ in the first relation, we get $16=x+13$.
$x=16-13$
$x=3$
Hence, the value of $x=3cm$
$y=13cm$