Question

The following figure RUNS is a parallelogram. Find x and y. (Lengths are in cm)

• A. $x=3$ and $y=13$
• B. $x=13$ and $y=3$
• C. $x=13$ and $y=13$
• D. $x=3$ and $y=3$

Answer 1

The correct option is A $x=3$ and $y=13$

$RUNS$ is a parallelogram and thus its diagonals bisect each other.

$\therefore$ $x+y=16$ ---- ( 1 )

and $7+y=20$

$\therefore$ $y=20-7$

$\therefore$ $y=13cm$

Substituting $y=13$ in equation ( 1 ) we get,

$\Rightarrow$ $x+13=16$

$\Rightarrow$ $x=16-13$

$\therefore$ $x=3cm$

$\therefore$ $x=3cm$ and $y=13cm$