A rectangular plot's length exceeds its breadth by 20 meters. Fencing it at Rs. 26.50 per meter costs Rs. 5300. What is the length in meters?
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Answer: D. None of These
Explanation
Dividing the total fencing cost by the rate per meter yields a total perimeter of two hundred meters. Using the standard perimeter formula reveals that the sum of the length and breadth equals one hundred meters. Solving the simultaneous equations gives a length of sixty meters, which is absent from options A through C. The perimeter of a rectangle is calculated by multiplying the sum of its length and breadth by two. Simultaneous linear equations allow mathematicians to determine unknown variables when given multiple related conditions. Cost analysis problems combine geometric measurements with basic economic rates to find physical dimensions.
Option A suggests a length of forty meters, which fails to satisfy the given perimeter requirements. Option B proposes a length of fifty meters, yielding incorrect sums when tested against the breadth difference. Option C provides a length of one20 meters, which vastly exceeds the mathematically derived perimeter constraints.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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