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/hour completes one round in 8 minutes, then the area of the park is
let length = l , breadth = b l = 3x , b = 2x perimeter of the rectangular park = distance covered by the man in one round = 12 × (5/18) × 8 × 60 ( ∵ 1min = 60secs and converting 12km/hr to m/s by multiplying it by 5/18) = 1600 m 2(3x+2x) = 1600 5x= 800 x = 160 l = 3x = 160 × 3 = 480 b = 2x = 160 × 2 = 320 area of the rectangle = l × b = 480 × 320 153600 m2
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