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 m/hr completes one round in 8 minutes, then the area of the park ( in sq.m) is :
Perimeter = Distance covered in 8 min. = `(12000/60 xx 8)` m = 1600 m.
Let length = 3x meres and breadth = 2 x
Then , `2(3x + 2x)` = 1600 or `x = 160`
`:.` Length = 480 m and Breadh = 320 m.
`:.` Area = (480 x 320) `m^2` = 153600 `m^2`
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