Question

The length and breath of a rectangular field are in the 3:2 .If the area of the field is 3456m 2 ,find the cost of fencing it at ₹60 per m

Answer 1

let the length and breadth be 3x and 2x

A/Q 3x × 2x=3456
6x^2=3456
x^2=3456/6
x^2=576
x= root 576
x=24

length-3×24=72m
breadth-2×24=48m

fencing will be done on the boundary. so, we have to find the perimeter,

p=2(l+b)
=2(72+48)
=2×120
=240m

cost per m=60

total cost= 240×60
=Rs.14400