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 9 km/hr completes one round in 5 min, then the area of the park (in sq. m) is?  Choose the correct choice from the following answers:	A) 337500 m	B) 300000 m	C) 153600 m	D) 33750 m	E) 9000 m
Perimeter = Distance covered in 5 min. = (9000 x 5)/60 m = 750 m.   Let length = 3x metres and breadth = 2x metres.   Then, 2(3x + 2x) = 750 or x = 75.   Length = 225 m and Breadth = 150 m.   Area = (225 x 150) m2 = 33750 m   33750 m
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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 9 km/hr completes one round in 5 min, then the area of the park (in sq. m) is?