একটি সামান্তরিক ক্ষেত্রের ভূমি তার উচ্চতার দ্বিগুণ। ক্ষেত্রফল 392 বর্গমিটার হলে, এর উচ্চতা কত?

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RRB ALP CBT I 29 Aug 2018 Shift 2 Official Paper
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  1. 12 মি
  2. 24 মি
  3. 14 মি
  4. 28 মি

Answer (Detailed Solution Below)

Option 3 : 14 মি
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প্রদত্ত :

একটি সামান্তরিক ক্ষেত্রের  ভূমি তার উচ্চতার দ্বিগুণ।

ক্ষেত্রফল = 392 বর্গমি

অনুসৃত ধারণা:

ক্ষেত্রফল = b × h

যেখানে "b" হল ভূমি এবং "h" হল সামান্তরিক ক্ষেত্রের উচ্চতা।

গণনা:

ধরি সামান্তরিক ক্ষেত্রের উচ্চতা x ,

সুতরাং, এর ভূমি = 2x

প্রশ্ন অনুযায়ী,

x × 2x = 392

⇒ 2x2 = 392

⇒ x2 = 196

⇒ x = 14 মি

সুতরাং, উচ্চতা = 14 মি

∴ উচ্চতা 14 মিটার।

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