Question

how much would it cost to erect a fence around a 4 hectare square shaped farm, if it costs rs 23 per metre?

Answer 1

The total cost to fence is Rs 18400

Solution:

Given that, 4 hectare square shaped farm

Area of square shaped farm = 4 hectares

1 hectare = 10,000 square meter

Therefore,

4 hectares = 40, 000 square meter

Hence area of farm = 40,000 square meters

The area of square is given by formula:

`Area = s^2`

Where "s" is the length of side

Therefore,

`40000 = s^2\\\\s = √(40000)\\\\s = 200`

Find the perimeter of square:

Perimeter = 4s

Perimeter = 4(200) = 800 meter

Given cost of fencing is Rs 23 per meter

Hence total cost for fencing 800 m is:

`\rightarrow 23 * 800 = 18400`

Thus total cost to fence is Rs 18400