Question

The length and width of a rectangular plot are in the ratio $5:3$. If the perimeter is $1024$ m. Find the area.

Answer 1

Let the length and breadth be $5x$ and $3x$

$\Rightarrow 2(5x+3x)=1024\Rightarrow 16x=1024\Rightarrow x=\frac{1024}{16}=64$

$\therefore$ Length$=64\times 5=320$m

and breadth$=64\times 3=192$m

area$=$length$\times$breadth$=320\times 192m^2=6144m^2$