A rectangular plot has length 20 metres more than its breadth. The total fencing cost at Rs 26.50 per metre is Rs 5300 (fencing all four sides). What is the length (in metres) of the plot?
Aptitude
Volume and Surface Area
Difficulty: Easy
Choose an option
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A40
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B120
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C50
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DNone of these
Answer
Correct Answer: None of these
Explanation
Introduction / Context:Cost of fencing equals cost per metre times perimeter. Translate cost into total perimeter, then solve the linear system given by the length–breadth relation and perimeter constraint.
Given Data / Assumptions:
- Cost = Rs 5300; rate = Rs 26.50/m.
- Perimeter P = 4-side fence.
- Length L = Breadth B + 20.
Concept / Approach:Compute P from cost, then use P = 2(L + B) with L = B + 20 to find dimensions.
Step-by-Step Solution:
P = 5300 / 26.5 = 200 m2(L + B) = 200 ⇒ L + B = 100With L = B + 20 ⇒ (B + 20) + B = 100 ⇒ 2B = 80 ⇒ B = 40L = B + 20 = 60 mVerification / Alternative check:Perimeter = 2(60 + 40) = 200 m; cost = 200 * 26.5 = Rs 5300.
Why Other Options Are Wrong:The correct L is 60 m, which is not listed; thus “None of these” is correct.
Final Answer:None of these (actual length = 60 m).