Area - General Aptitude

Q1:

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:

A 15360

B 153600

C 30720

D 307200

ANS:A - 15360

Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.
60
Let length = 3x metres and breadth = 2x metres. Then, 2(3x + 2x) = 1600 or x = 160.  Length = 480 m and Breadth = 320 m.  Area = (480 x 320) m2 = 153600 m2.