Question

The length and breadth of a rectangular field are in the ratio $3:2.$ If the perimeter of the field is $80m$ , find its breadth (in meters)

Answer 1

Step 1 : Find the breadth

Given that, the length and breadth of a rectangular field are in the ratio $3:2$ and the perimeter of the field is $80m$

Let the length and breadth of a rectangular field be $3x$ and $2x$ respectively.

$\Rightarrow$ $2(length+breadth)=80$

$\Rightarrow$ $2(3x+2x)$ $=80$

$\Rightarrow$ $2\times 5x$ $=80$

$\Rightarrow$ $10x$ $=80$

$\Rightarrow$ $x$ $=\frac{80}{10}$

$=8$

Breadth $=2x$

$=2\times 8$

$=16$ $m$

Therefore, the breadth of the rectangular field is $16m.$