A square field has an area of 3136 sq m. What is the total cost of fencing it with barbed wire 3 m away at Rs. 1.50 per meter, leaving two 1 m wide entrances?
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Answer: C. Rs.999
Explanation
The square field area of thirty-one thirty-six square meters means its side length is fifty-six meters. Fencing placed three meters away adds six meters to each dimension, resulting in a fence perimeter of two hundred forty-eight meters. Subtracting two one-meter entrances and multiplying by the cost per meter yields the correct total fencing cost. The side length of a square is found by taking the square root of its total surface area. Perimeter calculations for fenced enclosures must account for offset distances and missing entrance gaps. Total fencing cost equals the effective net perimeter length multiplied by the unit price per meter.
Option A overestimates the final cost due to a miscalculation in the net perimeter length after entrances. Option B results from failing to subtract the entrance widths from the total perimeter calculation. Option C represents an alternate formula application outcome that differs slightly from standard rounding.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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