Question

The area of the above rectangle is ___________ sq. units.

• A. $44$
• B. $88$
• C. $120$
• D. $130$

Answer 1

The correct option is C $120$

We know,
Opposite sides of rectangle are equal.
Hence, $3(y+1)=2(y+3).$
i.e. $3y+3=2y+6$
$\Rightarrow y=3$
Similarly, $2(x+3)=x+8$
i.e. $2x+6=x+8$
$\Rightarrow x=2$
Hence, the sides of the rectangle are
$3(y+1)=3(3+1)=12$
And
$2(x+3)=2(2+3)=10$
$\Rightarrow \text{Area of the rectangle}=12\times 10$
$\Rightarrow 120sq.units$