a man cycles round the boundary of a rectangular park at rate..., Area, General Mathematics

Question:A man cycles round the boundary of a rectangular park at the rate of 12 kmph and completes one full round in 8 minutes. If the ratio between the length and breadth of the park be 3 : 2 then its area is :

A `1536 m^2` 
B `15360 m^2` 
C `153600 m^2` 
D None

/98

+ AnswerC

+ ExplanationPerimeter = Distance covered in 8 min.

         `= ((12000)/(60) xx 8) m`

        `= 1600 m.`

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 xx 320) m^2`

           `= 153600 m^2`

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