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

Total cost of fencing the land at Rs 24per metre=9600
Therefore, the perimeter of the land = 9600÷24
=400
Let the length be 5x and breadth be 3x
Therefore, perimeter of the land= 2(l+b)
400=2(5x+3x)
400=16x
Therefore, x=400÷16
X= 25
THEREFORE, Length= 125 and breadth=75

Answer 2

Answer:

The answer is 125 and 75

Step-by-step explanation:

Ratio in length and breadth of a rectangular piece of land = 5 : 3

Cost of fencing = ₹ 9600

And rate = ₹ 24 per m

Perimeter = Total cost of fencing/Rate per m = 9600/24 = 400 m

Let length = 5x

Then breadth = 3x

∴ Perimeter = 2(l + b)

400 = 2 × (5x + 3x)

∴ 16x = 400

x = 400/16

= 25

5x=5*25

=125

3x=3*25

=75