একটি আয়তক্ষেত্রের দৈর্ঘ্য এবং প্রস্থ 8 : 3 এর অনুপাতে রয়েছে। আয়তক্ষেত্রের পরিধি যদি 220 সেমি হয়, তাহলে আয়তক্ষেত্রের দৈর্ঘ্য কত?

  1. 60 সেমি
  2. 70 সেমি
  3. 80 সেমি
  4. 85 সেমি

Answer (Detailed Solution Below)

Option 3 : 80 সেমি
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Detailed Solution

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ধরি দৈর্ঘ্য এবং প্রস্থ হল যথাক্রমে l এবং b

⇒ l ∶ b = 8x ∶ 3x

⇒ পরিধি = 2 × (l + b) = 220

⇒ l + b = 110

⇒ 8x + 3x = 110

⇒ 11x = 110

∴ x = 110/11 = 10

∴ দৈর্ঘ্য = 8x = 8 × 10 = 80 সেমি

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