Question

The ratio between the length & the breadth of a rectangular park is 3:2. If a man cycling along the boundry of the park at the speed of 12 kmph completes one round in 8 minutes,
then Find the area of park? (In m^2)
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Answer 1

Answer:

Hey mate Question seems to be typical, but trust me it is too easy to solve, before solving this, lets analyse how we can solve this.

We are having speed and time so we can calculate the distance or perimeter in this question.

Then by applying the formula of perimeter of rectangle we can get value of length and breadth, So finally can get the area. Lets solve it:

Perimeter = Distance travelled in 8 minutes,

=> Perimeter = 12000/60 * 8 = 1600 meter. [because Distance = Speed * Time]

As per question length is 3x and width is 2x

We know perimeter of rectangle is 2(L+B)

So, 2(3x+2x) = 1600

=> x = 160

So Length = 160*3 = 480 meter

and Width = 160*2 = 320 meter

Finally, Area = length * breadth

= 480 * 320 = 153600