Area of a rectangle is 460 sq m. If the length is 15% more than the breadth, find the breadth of the rectangular field in metres.
Aptitude
Area
Difficulty: Easy
Choose an option
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A20 m
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B30 m
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C40 m
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D50 m
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E25 m
Answer
Correct Answer: 20 m
Explanation
Introduction / Context:The question examines percentage-based relation between sides and area calculation inversion to retrieve a side length.
Given Data / Assumptions:
- Area A = 460 sq m
- L = 1.15 * B
Concept / Approach:Area A = L * B = 1.15 * B^2. Solve for B via B^2 = A / 1.15.
Step-by-Step Solution:
1.15 * B^2 = 460B^2 = 460 / 1.15 = 400B = 20 m (positive dimension)Verification / Alternative check:L = 1.15 * 20 = 23 m. Area check: 23 * 20 = 460 sq m. Correct.
Why Other Options Are Wrong:30 m, 40 m, 50 m, 25 m produce areas inconsistent with 460 given the 15% relation.
Common Pitfalls:Using 1.15 incorrectly as 15 or 0.15; or taking square root before dividing by 1.15.
Final Answer:20 m