ഒരു ദീർഘചതുരത്തിന്റെ നീളവും വീതിയും 8: 3 എന്ന  അനുപാതത്തിലാണ്. ദീർഘചതുരത്തിന്റെ ചുറ്റളവ് 220 സെന്റിമീറ്ററാണെങ്കിൽ, ദീർഘചതുരത്തിന്റെ നീളം എന്താണ്?

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

Answer (Detailed Solution Below)

Option 3 : 80 സെമീ 
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ദീർഘചതുരത്തിന്റെ നീളവും വീതിയും യഥാക്രമം l, b ആകട്ടെ.

⇒ l ∶ b = 8x ∶ 3x

⇒ ചുറ്റളവ് = 2 × (l + b) = 220

⇒ l + b = 110

⇒ 8x + 3x = 110

⇒ 11x = 110

∴ x = 110/11 = 10

∴ നീളം = 8x = 8 × 10 = 80 സെമീ 
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