Question

Find the cost erecting a fence around a square field whose area is 9 hectares if fencing cost Rs.35 per metre

Answer 1

Answer:-

Total cost of fencing = ₹42000.

Step by Step explanation -

Given,

• Area of field is 9 hectares.
• Cost of fencing per metre is ₹35.

We have to find

• Total cost of fencing around a square field.

How to solve ?

• At first we have given in the question that area of square field is 9 hectare, we know SI unit of area is m² ,so we will find the area into m² .

• Then we'll find the root to get the length of the each side of the square.

• Since,we'll get the length by finding the root ,then we'll find perimeter. [ perimeter of square = 4 × side ]

• After getting the perimeter we'll multiply it by the given cost per metre square to find the total cost of fencing.

Solution-

$\sf {⇒}$ As we know that 1 hectare = 10,000 m

So,the area of the square field in m² = (9×10000)m² = 90000 m².

$\sf {⇒}$ Length of each side of the field = √90000m=300m

$\sf {⇒}$ Perimeter of the square field = ( 4 × side )

$\sf {⇒}$( 4 × 300m )

$\sf {⇒}$ 1200 m

$\sf {⇒}$Total cost of fencing = ₹ ( 1200m × 35) = ₹42000.