Question

The length of a rectangle is $2cm$ more than its width and its perimeter is $44cm$. The area of rectangle is

• A. $180c{m}^2$
• B. $160c{m}^2$
• C. $120c{m}^2$
• D. $88c{m}^2$

Answer 1

The correct option is C $120c{m}^2$

$L=W+2\Rightarrow L-W=2...\left(1\right)$
and $2(L+W)=44\Rightarrow L+W=22...\left(2\right)$
Adding $\left(1\right)$ and $\left(2\right)$,

$2L=24\Rightarrow L=12$
$\therefore W=10$
Hence, Area of rectangle $=L\times W$
$=12\times 10c{m}^2$
$=120c{m}^2$