The area of a rectangular field is 2100 sq. metres. If the field is 60 metres long, what is its perimeter? (Bank Recruitment, 2007)
Aptitude
Area
Difficulty: Medium
Choose an option
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A180 m
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B210 m
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C240 m
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DCannot be determined
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ENone of these
Answer
Correct Answer: None of these
Explanation
### Concept & Formula
The perimeter requires both length and breadth. First, deduce the missing dimension (breadth) using the area formula, then apply the perimeter formula.
$$ \text{Area} = L \times B $$
$$ \text{Perimeter} = 2(L + B) $$
### Step-by-Step Solution
* **Given:** $\text{Area} = 2100\text{ sq. m}$, Length ($L$) = $60\text{ m}$.
* **Step 1:** Find the breadth ($B$).
$2100 = 60 \times B$
$B = \frac{2100}{60} = 35\text{ m}$
* **Step 2:** Calculate the perimeter.
$\text{Perimeter} = 2 \times (60 + 35)$
$\text{Perimeter} = 2 \times (95)$
$\text{Perimeter} = 190\text{ m}$
### Exam Strategy & Shortcut
When you calculate the perimeter as $190\text{ m}$ and scan the options, you'll notice $190\text{ m}$ is missing. Do not second-guess your calculation if you are confident; simply select "None of these".
### Common Pitfall
A frequent error is calculating the breadth ($35\text{ m}$) and inadvertently searching for that number in the options, or forgetting to multiply the sum of length and breadth by $2$ for the perimeter.
### Final Answer
Therefore, the correct answer is **None of these**.