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What is the total cost to fence the land thrice by wire at the rate of Rs 50 per meter if the area of the land is 900√3 square meters? A) Rs 135,000 B) Rs 45,000 C) Rs 90,000 D) Rs 180,000

User Cdwilson
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Final answer:

To solve this question, calculate the side length of the land from the area given, then calculate the perimeter, and multiply this by the cost per meter for fencing. Since the fencing is done thrice, the total cost would be three times the value calculated.

Step-by-step explanation:

To find the total cost to fence the land, we first need to find the perimeter of the land. The area of the land is 900√3 square meters. Since the land is likely to be a square (because we aren't given the dimensions only the area), the side length of the square land is √(900√3)m = 30√3 m. So the perimeter of the square land area is 4 x side length = 4 x 30√3 = 120√3 m. The cost to fence this once is 120√3m x Rs 50 = Rs 6000√3. However, the land is fenced thrice, so the total cost would be this cost x 3 which equals Rs 18000√3 which lies closest to Rs 180,000. Thus the answer is D) Rs 180,000.

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User Benjamin Harel
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