Question

the length and breadth of a rectangular piece of land are in the 5:3 . if the total cost of fencing it at ₹24 per metre is ₹ 9600, find its length and breadth

Answer 1

Area of rectangle=9600/24=400m
length of rectangle=5x
breadth of rectangle=3x
400=5x*3x
400/15°=x*x
80/3=x2
x=√80/3
5x=5√80/3
3x=3√80/3

Answer 2

l:b=5:3
Fencing cost =Rs 24 per m
Total cost=Rs 9600
So total length fenced = perimeter = 9600/24=400m
2(l+b)=400
2(5x+3x)=400
On solving, x=25
Length=5x=125m and breadth=3x=75m