বর্গক্ষেত্রের কর্ণ 8√2 সেমি। অন্য বর্গক্ষেত্রের কর্ণ খুঁজুন যার ক্ষেত্রফল প্রথম বর্গক্ষেত্রের তিনগুণ।

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 06 Dec 2022 Shift 4)
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  1.  সেমি
  2.  সেমি
  3.  সেমি
  4.  সেমি

Answer (Detailed Solution Below)

Option 4 :  সেমি
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Free
PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
25 Qs. 50 Marks 10 Mins

Detailed Solution

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অনুসৃত ধারণা:

বর্গক্ষেত্রের কর্ণ = √2 a

গণনা:

বর্গক্ষেত্রের কর্ণ = √2 a

সুতরাং, √2 a = 8√2

⇒ a = 8

⇒  a² = 64 সেমি²

সুতরাং, অন্য বর্গক্ষেত্রের ক্ষেত্রফল = 3(64) = 192

তাহলে বর্গক্ষেত্রটির কর্ণ= √2 a = √2 × √192 = 8√6 সেমি

সুতরাং, প্রয়োজনীয় মান হল 8√6 সেমি

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