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

Perimeter = Distance covered in 8 min. = (12000/8 m)(60) = 1600 m.
Let length = 3x meters and breadth = 2x meters.
Then, 2(3x + 2x) = 1600 or x = 160.
Length = 480 m and Breadth = 320 m.
Area = (480 x 320) = 153600 sq. m.