Question

the length and breadth of a rectangular field are in the ratio 3 2 .if the area of the field is 5046 m2,find the cost of fencing it at rs 62.50 per m

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The cost of fencing is Rs.18125.

Step-by-step explanation:

Given : The length and breadth of a rectangular field are in the ratio 3:2. If the area of the field is 5046 m².

To find : The cost of fencing it at Rs.62.50 per m?

Solution :

Let the ratio be 'x'.

So, length is 3x and breadth is 2x.

The area is  5046 m².

The area of the rectangular field is $A=l\times b$

$5046=3x\times 2x$

$6x^2=5046$

$x^2=\frac{5046}{6}$

$x^2=841$

$x=\sqrt{841}$

$x=29$

The length is 3(29)=87 m

The breadth is 2(29)=58 m

The perimeter or fencing of rectangular field is $P=2(l+b)$

$P=2(87+58)$

$P=2(145)$

$P=290$

The cost of fencing it at Rs.62.50 per m is

$Cost=62.50\times 290$

$Cost=18125$

Therefore, the cost of fencing is Rs.18125.

#Learn more

The ratio of length and breadth of rectangular field is 3:1. Its area is 3/4 m2 what is the perimeter of the field

https://brainly.in/question/11256255