The ratio between the length and the breadth of a rectangular park is 1 : 4. 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 answers.
A) 124545 m	B) 134561 m	C) 156787 m	D) 15450 m	E) 102400 m

Rationale: perimeter = distance covered in 8 min . = 12000 x 8 m = 1600 m . 60 let length = 1 x metres and breadth = 4 x metres . then , 2 ( 1 x + 4 x ) = 1600 or x = 160 . length = 160 m and breadth = 640 m . area = ( 160 x 640 ) m 2 = 102400 m e
Answer: E