Rectangle from perimeter: The perimeter of a rectangle is 84 m and its length is 6 m more than its breadth. Find the area of the rectangle.
Aptitude
Area
Difficulty: Easy
Choose an option
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A333 sq.mts
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B330 sq.mts
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C362 sq.mts
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D432 sq.mts
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E384 sq.mts
Answer
Correct Answer: 432 sq.mts
Explanation
Introduction / Context:Standard perimeter-to-dimensions problem followed by area computation for a rectangle.
Given Data / Assumptions:
- P = 84 m
- L = B + 6 m
Concept / Approach:Use P = 2(L + B) to find L + B, then substitute L = B + 6 to solve. Area = L * B.
Step-by-Step Solution:
L + B = 84 / 2 = 42(B + 6) + B = 42 → 2B = 36 → B = 18 → L = 24Area = 24 * 18 = 432 sq mVerification / Alternative check:Perimeter check: 2*(24+18) = 2*42 = 84 m. Correct.
Why Other Options Are Wrong:330, 333, 362, 384 do not equal 24*18 given the perimeter condition.
Common Pitfalls:Forgetting to halve the perimeter or miscomputing 24*18 (it is 432).
Final Answer:432 sq.mts