Question
1.
2.
3.
4.
Answer (Detailed Solution Below)
Option 3 : $80$ cm
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Detailed Solution
सही उत्तर $80$ cm है।
Key Points
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prepsnap.in • Part -AQuestion:
The area of a rhombus is $384$ cm² and its diagonals are in the ratio $3:4$. What is the perimeter of the rhombus? / एक समचतुर्भुज का क्षेत्रफल $384$ सेमी² है और इसके विकर्ण $3:4$ के अनुपात में हैं। समचतुर्भुज का परिमाप क्या है?
1.
$64$ cm
2.
$96$ cm
3.
$80$ cm
4.
$72$ cm
Correct Answer: $80$ cm
$\frac{1}{2}\cdot3k\cdot4k = 384 \Rightarrow 6k^{2} = 384 \Rightarrow k = 8$; diagonals $24$ and $32$. Side $= \sqrt{12^{2}+16^{2}} = 20$ cm, so perimeter $= 4\times20 = 80$ cm. / विकर्ण $24, 32$; भुजा $20$; परिमाप $80$ सेमी। Option (b) is the trap of using $k^{2} = 64$ to get $k = 8$ but then computing the perimeter from the semi-diagonals directly.
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