Question

The length and breath 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 9600rs.find the length and breath.

Answer 1

Answer :

The length of the rectangle is 125 m and the breadth is 75 m.

Step-by-step explanation :

Let the length of the rectangle be $5x$ and breadth be $3x$ .

Given total cost of fencing it is 9600 Rs.

Rate of fencing = 24 per metre

Now, perimeter = 9600 / 24 = 400 m

According to the question,

Perimeter = 2(l+b)

⇒ $400=2(5x+3x)$

⇒ $\frac{400}{2}=8x$

⇒ $200=8x$

⇒ $x=25$

Length of the rectangle -

⇒ $5x$ = $5\times 25=125$ m

Breadth of the rectangle -

⇒ $3x$ = $3\times 25=75$ m

Answer 2

Heya mate
The answer of ur question is


Ratio of the length and breadth = 5x: 3x


Total cost of fencing = Rs9600
At the rate of = Rs24


Perimeter = 2 ( L + B )

2 ( 5x+3x) = 16x is perimeter 
perimeter = 9600/24
Perimeter = 400

16x = 400
x= 25 


length = 125m
breadth= 75m



hope it helps