The ratio of length and breadth of a rectangular park is 4:2. If a cat running along the boundary of the park at the speed of 18 km/hr completes one round in 10 minutes, find the area of the park in square meters.

5,00,000 sq m

Perimeter of the park :

60 min = 18km

so, 10 minutes = 3 km

Thus, the perimeter is 3 km

So, 2(l+b) = 3

2(4x + 2x) = 3

12x = 3 km

x = 0.25 km or 250 m

length = 4 x 250 = 1000 m 

breadth = 2 x 250 = 500 m

length x breadth = 1,000 x 500 = 5,00,000 m²