Question

the length and breadth of a rectangular piece of land are in the ratio 5: 3 if the total cost of fencing it at the rate of rupees 48 per metre is rupees 19200 find its length and breadth​

Answer 1

let the diamention ratio be -x

so, l-5x and b-3x

area of land= l×b

5x×3x

=15x eq no 1

in 48 rupees 1m sq land are fence

so, in 19200 rupees land are fence=19200÷48 =400m sq eq no 2

from eq 1 and 2

15x = 400 m sq

so, x = 400÷15

24 m sq

so, l =5x = 5×50 = 250m sq

b=3x= 3×50 = 150m sq

hope you will understand that

Answer 2

Let length and breadth be :5x and 3x
Area: 15x^2
According to question
15x^2 * 48 = 19200
X^2=19200/48*15
=400
X=20
Length=20*5
=100
Breadth=20*3
=60