text: # The length of a rectangular plot is 7/3 times its breadth. A person takes 16 minutes to complete a round walking along the rectangular dimension of the park at the rate of 24 km/hr. What is the perimeter of the rectangular plot in metres?
  
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  1. 1600 m
  2. 3200 m
  3. 4800 m
  4. 6400 m
  5. None of these
  
  Option 4 : 6400 m
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  10 Questions 10 Marks 10 Mins
  
  ## Detailed Solution
  
  Given Length = (7/3) × Breadth
  
  ⇒ Length : Breadth = 7 : 3
  
  Let length = 7x km, Breadth = 3x km
  
  Distance travelled by the person at a speed of 24 kmph in 16 minutes = Perimeter of the rectangular plot
  
  ⇒ 2 × (7x + 3x)
  
  ⇒ 2 × 10x
  
  ⇒ 20x
  
  Distance travelled by the person at a speed of 24 kmph in 16 minutes = 20x
  
  ⇒ 24 × (16/60) = 20x
  
  ⇒ (24 × 16)/(20 × 60) = x
  
  ⇒ x = (8/25) km
  
  ⇒ x = (8/25) × 1000 m
  
  ⇒ x = 320 m
  
  ⇒ Perimeter of the rectangular plot = 20 × 320 = 6400m
  
  ∴ Required Perimeter = 6400 m
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