Find the value of $x y$ , if $A B C D$ is a parallelogram.

12

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Solution

The correct option is A 12

Given: ABCD is a parallelogram.

So, AD = BC
[Opposite sides of a parallelogram are equal]

$∴ 2 y + 4 = 12 ⟹ y = 4$

Similarly, AB = DC
[Opposite sides of a parallelogram are equal]
$∴ 5 x + 3 = 18 ⟹ x = 3$

Hence, the value of $x y = 3 \times 4 = 12.$

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