Question:
What is the perimeter of the rectangle?
I) The length of the rectangle is 8 cm.
II) The area of the rectangle is $32~cm^{2}$}
What is the perimeter of the rectangle?
I) The length of the rectangle is 8 cm.
II) The area of the rectangle is $32~cm^{2}$}
I) The length of the rectangle is 8 cm.
II) The area of the rectangle is $32~cm^{2}$}
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Perimeter requires both dimensions; area and one dimension allow you to find the other.
Updated On: Jun 26, 2026
- Statement I alone is sufficient
- Statement II alone is sufficient
- Statements I and II together are sufficient
- Statements I and II together are not sufficient
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The Correct Option is C
Solution and Explanation
Step 1: Concept
Perimeter of a rectangle = $2(\text{length} + \text{breadth})$. Both length and breadth are needed.
Step 2: Analysis of Statement I
$L = 8$ cm. Breadth is unknown. Not sufficient.
Step 3: Analysis of Statement II
$\text{Area} = L \times B = 32~cm^2$. Neither $L$ nor $B$ is known individually. Not sufficient.
Step 4: Combined Analysis
From I, $L = 8$. From II, $8 \times B = 32 \Rightarrow B = 4$.
Perimeter = $2(8 + 4) = 24$ cm.
Both statements together are sufficient.
Step 5: Conclusion
Correct answer is (3). Final Answer: (3)
Perimeter of a rectangle = $2(\text{length} + \text{breadth})$. Both length and breadth are needed.
Step 2: Analysis of Statement I
$L = 8$ cm. Breadth is unknown. Not sufficient.
Step 3: Analysis of Statement II
$\text{Area} = L \times B = 32~cm^2$. Neither $L$ nor $B$ is known individually. Not sufficient.
Step 4: Combined Analysis
From I, $L = 8$. From II, $8 \times B = 32 \Rightarrow B = 4$.
Perimeter = $2(8 + 4) = 24$ cm.
Both statements together are sufficient.
Step 5: Conclusion
Correct answer is (3). Final Answer: (3)
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