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Find the cost of erecting a fence around a square field whose area is 9 hectares if fencing costs 3.50/- permetre

Question

Find the cost of erecting a fence around a square field whose area is 9 hectares if fencing costs 3.50/- per metre.

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Solution

Sure, here are the steps to solve the problem:

Step 1: Understand the problem We are given that the area of the square field is 9 hectares. We are also given that the cost of fencing is 3.50 per metre. We need to find the total cost of fencing the field.

Step 2: Convert hectares to square metres 1 hectare is equal to 10,000 square metres. So, 9 hectares is equal to 9 * 10,000 = 90,000 square metres.

Step 3: Find the side length of the square field The area of a square is given by the formula side^2. So, the side length of the field is the square root of the area. Therefore, the side length is sqrt(90,000) = 300 metres.

Step 4: Find the perimeter of the square field The perimeter of a square is given by the formula 4 * side. So, the perimeter of the field is 4 * 300 = 1200 metres.

Step 5: Find the cost of fencing The cost of fencing is given by the formula cost per metre * perimeter. So, the cost of fencing is 3.50 * 1200 = 4200/-.

So, the cost of erecting a fence around the field is 4200/-.

This problem has been solved

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