Question

The area of a square field is 1600 m2. Find the cost of fencing the field if the cost of wire is R125 per/m.

Answer 1

Answer:

The required cost of fencing is Rs. 20,000.

Step-by-step explanation:

Given :

The area of a square field is 1600 m².

To find :

the cost of fencing the field if the cost of wire is Rs. 125 per m.

Solution :

We've to find the perimeter of the square field and then we can get the cost of fencing.

So, let's find the side of the square field.

Area of the square field = 1600 m²

side × side = 1600

side² = 1600

side = √1600

side = 40 m

Now, perimeter of the square field = 4(side)

= 4(40)

= 160 m

The cost of fencing is Rs. 125 per m.

Therefore, the cost of fencing 160 m

= 160 × 125

= Rs. 20,000

Answer 2

Answer:

The cost of fencing the field is Rs.20,000

Step-by-step explanation:

Given information

↠ The area of square field is 1600m²

↠ The cost of wire is Rs.125 per/m

What we have to find

↠ We have to find the cost of fencing the square field .

_____________

Explanation

↠ As we given the area of Square field (1600m²) and the rate of fencing the field (Rs.125 per/m) .To find the total cost , frist we have to calculate the sides of the square field

• This will calculate with the help of the area of field

↠ After calculating the side we have to calculate the perimeter of square field.

• This will help us in calculating the cost of fencing the square field

______________

Finding the Side of the square

We have given that , Area of square field = 1600m²

Area of the square is equal to = side × side

let a be side of the square

➻ a × a = 1600

➻a² = 1600

• square sides

➻ a = √1600

➻ a = 40m

❑The sides of square is 40m

_______________________

Now we will calculate the perimeter of square .

❍As we know Perimeter of square is the length of a the boundaries of square. Since there are 4 sides in square of equal length Therefore,

➥ Perimeter of square = 4 × sides

• Submitting values

➥ Perimeter of square = 4 × 40m

• Multiplying 4 and 40

➥ Perimeter of square = 160m

❑Perimeter of square is 160m

______________________

Now we will calculate the cost of fencing the field

We have given cost of fencing of 1 meter is Rs.125

➺ Cost of fencing the boundaries = Perimeter of square × Cost of 1 meters

• Submitting values

➺ Cost of fencing the boundaries = 160 × 125

• On multiplying

➺ Cost of fencing the boundaries = Rs.20,000

Therefore the Cost of fencing the square field is Rs.20,000