Question

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

Answer 1

☆Hey Mate☆

Let length and breadth be 5x and 3x respectively.

Now we know that, perimter × cost of per m = Total cost

Rs 9600 = Rs 24 × Perimter( in m )

Rs 9600/Rs 24 = Perimter

400 m = Perimeter

Now, we know that Perimeter = 2 ( length + breadth )

400 m = 2( 5x +3x )
400m /2 = 8x
200m/8 = x

25 m = x
Then, length = 5 × 25 m = 125 m

and, breadth = 3 × 25 m = 75 m

Hope it helps☺!

Answer 2

the ratio= 5:3
length/breadth=5/3
length=5x
breadth=3x
Total cost of fencing=9600
total fencing required=9600/24
= 400m^2
total fencing=2(l+b)
400=2(5x+3x)
200=8x
x=25

length = 25×5= 125m
breadth= 25×3=75m


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