Question

The value of $xy$ for parallelogram $ABCD$ is :

• A. $2,695$
• B. $2,940$
• C. $4,704$
• D. $6,468$

Answer 1

The correct option is A $2,695$

Opposite angles in a parallelogram are equal, implying $\angle ADC=\angle ABC$

$\therefore x+y=112...\left(1\right)$

Also, $\angle DAC=\angle BCA$ since they are alternate angles.

$\therefore x-y=42...\left(2\right)$

Adding equations (1) and (2), we get

$2x=154$ or $x=77$

$\Rightarrow y=77-42=35$

Therefore, $xy=77\times 35=2695$