# 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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## 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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