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 24 per metre is 9600, find its length and breadth.​

Answer 1

Answer:

length= 125

breadth= 75

Step-by-step explanation:

ratio = 5 : 3

let the length and breadth be 5x and 3x

cost of fencing per metre = 24

cost of fencing y metre = 9600÷24

y = 400 m

where y is the perimeter of the rectangular land.

y = 400

$2(l + b) = 400$

$2(5x + 3x) = 400$

$2(8x) = 400$

$8x = 200$

$x = 25$

so, length= 5x = 5(25) = 125m

breadth = 3x = 3(25)= 75

Mark Brainliest Plz❣️

Answer 2

Answer:

length = 125m

breadth = 75m

Step-by-step explanation:

Given:

The ratio of rectangular peice of land = 5:3

cost of fencing per metre = ₹24

Total cost of fencing = ₹9600

To Find:

The length and breadth of the rectangular land

Solution:

First we should find the perimeter of the land.

$= \frac{9600}{24} \\ = 400m$

So,

$perimeter \: of \: rectangle = 2(l + b) \\ 400 = 2(5x + 3x) \\ 400 = 2(8x) \\ 400 = 16x \\ x = \frac{400}{16} \\ x = 25 \\ \\ 5x = 5 \times 25 = 125m \\ 3x = 3 \times 25 = 75m$

∴The length and breadth of the land are 125m and 75m respectively