Question

find the expenditure of putting a barbed wire around a 4 hectare square field, if it cost ₹45 per metre

Answer with explanation​

Answer 1

Answer is 56 rupees per month plan

Answer 2

Answer is 36,000

Complete step-by-step answer:

Area of square shaped farm = 4 hectares

(1 hectares = 10,000m2)

Hence, to get the area of the field in square meters, multiply 4 hectares with 10,000 square meters. Area of field in square meters is:

A = 4×10,000 = 40,000m2

Let the sides of the square field be a. Substitute A=40,000 in the formula A=(a)2 to determine the length of the side of the square.

A=(a)2(a)2=40,000

Taking square roots both sides-

(a)2−−−−√=40,000−−−−−−√a=±200

As the sides cannot be negative so, the sides of the square field is a=200 m

Since the given field is a square then, the perimeter will be the sum of all the sides of the field.

Substitute a=200 min the formula P=4a to determine the total length of the square field on which the barbed wire is to be fenced.

P=4×200=800 m

The cost of fencing by barbed wire is Rs.45 per meter .

Therefore, the total cost of fencing for 800 mof barbed wire is the product of the total length of the field and cost of fencing per square meter.

C = 45×800 = Rs.36,000.