Question

A rectangular park, whose grass area is $10800$ sq. m. and the sides are in the ratio of $4:3$. Calculate the wire required to cover outer boundry of the park.

Answer 1

Let, the sides of the park be 4x and 3x.
then, $4x\times 3x=10800$
$\therefore x^2=\frac{10800}{12}=900$
$x=30$
Now, the sides are $120$ metre and $90$ metre.
$\therefore$ Required wire (perimeter) of outer boundary
$=2(90+120)$ metres
$=420$ metres.