जर पहिल्या चौरसाची परिमिती ही दुसर्या चौरसाच्या परिमितीच्या 3 पट असेल तर त्यांच्या बाजूंचे गुणोत्तर किती?

  1. 4 ∶ 3

  2. 3 ∶ 1

  3. 3 ∶ 2

  4. 4 ∶ 1

Answer (Detailed Solution Below)

Option 2 :

3 ∶ 1

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Detailed Solution

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दिल्याप्रमाणे:

पहिल्या चौरसाची परिमिती = 3 × दुसर्‍या चौरसाची परिमिती

वापरलेले सूत्र:

परिमिती = 4 × बाजू

गणना:

पहिल्या चौरसाची बाजू x सेमी आणि दुसर्‍या चौरसाची बाजू y सेमी मानू

प्रश्नानुसार,

पहिल्या चौरसाची परिमिती = 3 × दुसर्‍या चौरसाची परिमिती

⇒ 4 × पहिल्या चौरसाची बाजू = 3 × (4 × दुसर्‍या चौरसाची बाजू)

⇒ 4x = 12y

⇒ x/y = 3

आवश्यक गुणोत्तर = 3 ∶ 1

∴ त्यांच्या बाजूंचे गुणोत्तर 3: 1 आहे.

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