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.
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/-.
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