A rectangular field has its length and.breadth in the ratio of 6 : 5 respectively. A man riding a bicycle, completes one lap of this field along its perimeter at the speed of 19.8 km/hr in 2 minutes. What is the area of the field?

Options

A. 19200 sq/mts
B. 27000 sq/mts
C. 32500 sq/mts
D. Cannot be determined

Answer

B

Explanation

Speed `=19.8km//hr =(19.8xx5/18)m//sec`.
`=5.5 m/sec`.
Perimeter of the rectangular field = Distance covered in 2 minutes i.e. 120 seconds `=120xx5.5=660` metre ltbr. `:. 2(6x+5x)=660`
`rArr 22x=660rArrx=30`
`:. " Area of the field "=6xxx5x=3.0x^2`
`=30xx30xx30=27000 sq m`