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The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:


Options:
A .  15360
B .  153600
C .  30720
D .  307200
Answer: Option B

Perimeter = Distance covered in 8 min. =  The Ratio Between The Length And The Breadth Of A Rectangul... 12000 x 8  The Ratio Between The Length And The Breadth Of A Rectangul...m = 1600 m. 60

Let length = 3x metres and breadth = 2x metres.

Then, 2(3x + 2x) = 1600 or x = 160.

 The Ratio Between The Length And The Breadth Of A Rectangul... Length = 480 m and Breadth = 320 m.

 The Ratio Between The Length And The Breadth Of A Rectangul... Area = (480 x 320) m2 = 153600 m2.



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