The ratio between the length and the breadth of a rectangular park is 1 : 3. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?  Choose the correct choice from the following options
A) 124545 m  B) 134561 m  C) 156787 m  D) 15450 m  E) 120000 m
Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.   60   Let length = 1x metres and breadth = 3x metres.   Then, 2(1x + 3x) = 1600 or x = 200.   Length = 200 m and Breadth = 600 m.   Area = (600 x 200) m2 = 120000 m   120000 m
<result>E</result>
The ratio between the length and the breadth of a rectangular park is 1 : 3. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?