Find the cost of erecting a fence around a squar field, whose area is 729 hectares at the rate of Rs.1.50 per metre. (1 hectare=10000m2)

since the area = 729 hectares = 7290000 m^2

the length of the square = 2700 m

so the perimeter is 4 times that, then multiply by 1.5 to get Rs

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To find the cost of erecting a fence around the square field, we need to calculate the perimeter of the field first, as the cost is dependent on the length of the fence.

Given that the area of the field is 729 hectares, we can convert it into square meters using the conversion factor: 1 hectare = 10,000 square meters.

729 hectares * 10,000 square meters/hectare = 7,290,000 square meters

As the field is square, the length of one side can be found by taking the square root of the area:

Side length = √(area) = √(7,290,000 square meters) = 2,700 meters

Since the field is a square, all sides are equal, so the perimeter of the field is:

Perimeter = 4 * side length = 4 * 2,700 meters = 10,800 meters

Now, to find the cost of erecting a fence, we need to multiply the perimeter by the rate per meter.

Cost of erecting the fence = Perimeter * rate per meter
= 10,800 meters * Rs. 1.50/meter

Performing the calculation:

Cost of erecting the fence = 16,200 rupees

Therefore, the cost of erecting a fence around the square field is Rs. 16,200.