Question

The length of a rectangle is ${\left(\frac{6}{5}\right)}^{th}$ of its breadth. If its perimeter is $132m$, its area will be _____

• A. $1080m^2$
• B. $640m^2$
• C. $1620m^2$
• D. $2160m^2$

Answer 1

The correct option is A $1080m^2$

$l=\frac{6}{5}b$
Perimeter $=132$
$2(\frac{6}{5}b+b)=132$
$\Rightarrow \frac{11b}{5}=\frac{132}{2}$
$\Rightarrow b=30m$.
$l=\frac{6}{5}\times 30=36m$
$Area=l\times b=36\times 30$
$=1080m^2$