Question

The length and breadth of a rectangular field are in ratio $3:2$. If the area of the field is $3456sqm$. Find the cost of fencing the field at $Rs.4$ per meter.

Answer 1

Given that:

Length of a rectangle field $=3x$

Breadth of a rectangle field $=2x$

Area $=3456m^2$

$3x\times 2x=3456m^2$

$6x^2=3456m^2$

$x^2=576m^2$

$x=24m$

Therefore, the length $=72m$

Breadth $=48m$

Perimeter of the rectangular field $=72+48=120m$

Cost of $1$ meter $=Rs.4$

Cost of $120$ meter $=Rs.4\times 120=Rs.480.$

This is the required solution.