A land plot has a 5:3 length-to-breadth ratio. Fencing all sides at Rs. 7.50 per meter costs Rs. 3000. What is the difference between its length and breadth_________?
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Answer: A. 50m
Explanation
Dividing the total fencing cost by the rate per meter determines the exact perimeter of four hundred meters. Applying the given length-to-breadth ratio of five to three yields actual side lengths of one hundred twenty-five and seventy-five meters. Subtracting the breadth from the length gives a final difference of exactly fifty meters between the two dimensions. Ratio parts represent proportional shares of a total quantity distributed among multiple related geometric dimensions. The perimeter of any standard rectangle equals the sum of all four outer boundary sides combined together. Fencing cost calculations require multiplying the total linear meter boundary distance by the specified monetary rate.
Option B incorrectly doubles the actual difference by misinterpreting the proportional side lengths of the plot. Option C suggests an excessively large difference that contradicts the derived perimeter and ratio constraints. Option D provides a value too high to satisfy the fundamental perimeter equation for the given plot.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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