Question

The area of a rectangular field is $250m^2$. If the length and width of the field are in the ratio $2:5$, find the perimeter of the field.

• A. $70m$
• B. $60m$
• C. $80m$
• D. $50m$

Answer 1

The correct option is A $70m$

Given: The area of the field $=250m^2$

The length and width are in the ratio $2:5$.

Let the length and width be $5x\text{and}2x$, respectively.

So, $5x\times 2x=250$

$\Rightarrow 10x^2=250$

$\Rightarrow x^2=25$

$\Rightarrow x=\sqrt{25}=5$

So, the length $=5x=25m$ and the width $=2x=10m$.

So, the perimeter $=2(L+W)=2(25+10)=70m$.