In the given figure RUNS is a parallelogram. Find x and y. (lengths are in cm).

x = 3 & y = 13

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x = 4 & y = 13

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x = 3 & y = 17

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x = 7 & y = 17

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Solution

The correct option is A $x = 3 & y = 13$
Diagonals of a parallelogram bisects each other.
So, from the figure
$16 = x + y$ ; $\dots (1)$
$20 = y + 7$ $\dots (2)$

$y = 20 - 7 = 13$

$y = 13$ .

substitute in $(1)$

$16 = 13 + y$

$x = 3$

$∴ x = 3, y = 13$

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