Radhika runs along the boundary of a rectangular park at the rate of 12 km/hr and completes one full round in 15 minutes. If the length of the park is 4 times its breadth , the area of the park is?

360000 m2
360002
3600 m2
None of these

Correct Answer: 360000 m2

Explanation:

Speed = 12 x (5/18) m/sec
=10/3 m/sec
there4; perimeter = (10/3) x 15 x 60 m=3000 m
∵ 2( a + 4a) = 3000 m
⇒ a = 300 m
So, length = 1200 m and breadth = 300 m
∴ Area = (1200 x 300 ) m² = 360000m²

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