Question

the cost of making a fence around a fence around a square field is ₹392 at the rate of ₹14 per metre. what is the lenght of each side of the field​

Answer 1

Answer:

If the cost of making a fence around a fence around square field is ₹392 at the rate of ₹14 per metre then the length of each side of the field​ is 5.3 m.

Step-by-step explanation:

The cost of making a fence around a fence around a square field is ₹392 at the rate of ₹14 per metre.  

So area of square field = 392 ÷ 14 = 28 sq. metre

If the side of the square is x.

$Area of square = (side)^2$

$28 = x^2$

$x = \sqrt{28}$

$x = 5.3 m$

So, the side of square is 5.3 m.

Answer 2

Given:

Cost of making a fence around a field= Rs. 392

Rate of fence per metre= Rs. 14

To Find:

Length of each side of the field.

Solution:

We can easily find out the length of the side of field by using the following process.

We will start by calculating the length of the field that has been fenced.

Now, the length of the field = Cost of fencing the field ÷ Rate of fence per metre

= 392÷14

= 28 metres

Therefore, the perimeter of the square field is 28 metres.

Since it is a square field, all its sides will be equal.

The perimeter of a square field= 4a; where a is the side of the square field.

Now we will find the length of the square field.

We know that the perimeter of the field=4a

28=4a

⇒ a= 7 metres

Hence, the length of each side of the field= 7 metres.