Question

The perimeter of a rectangular field is $240m$ and the ratio between the length and breadth is $5:3$. The area of the field is

• A. $33750m^2$
• B. $3375m^2$
• C. $3500m^2$
• D. $3950m^2$

Answer 1

Answer: (B)

$3375m^2$

Let the length and breadth of the rectangular field be $5x$ and $3x$.

Then by the problem,

$2(5x+3x)=240$

or,$16x=240$

or, $x=15$

Now length and breadth be $75m$ and $45m$.

So the area will be $75\times 45=3375m^2$.