यदि पहले वर्ग का परिमाप दूसरे वर्ग के परिमाप के 3 गुना के बराबर है, तब उनकी भुजाओं का अनुपात क्या है?

  1. 4 ∶ 3

  2. 3 ∶ 1

  3. 3 ∶ 2

  4. 4 ∶ 1

Answer (Detailed Solution Below)

Option 2 :

3 ∶ 1

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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
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Detailed Solution

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दिया गया है:

पहले वर्ग का परिमाप = 3 × दूसरे वर्ग का परिमाप

प्रयुक्त सूत्र:

परिमाप = 4 × भुजा 

गणना:

माना पहले वर्ग की भुजा x सेमी है और दूसरे वर्ग की भुजा y सेमी है। 

प्रश्न के अनुसार,

पहले वर्ग का परिमाप = 3 × दूसरे वर्ग का परिमाप

⇒ 4 × पहले वर्ग की भुजा = 3 × (4 × दूसरे वर्ग की भुजा)

⇒ 4x = 12y

⇒ x/y = 3

वांछित अनुपात = 3 ∶ 1

 उनकी भुजाओं का अनुपात 3 1 है। 

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