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 / hr completes one round in 8 minutes , then the area of the park ( in sq . m ) is :
"explanation : 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 3 x and width is 2 x we know perimeter of rectangle is 2 ( l + b ) so , 2 ( 3 x + 2 x ) = 1600 = > x = 160 so length = 160 * 3 = 480 meter and width = 160 * 2 = 320 meter finally , area = length * breadth = 480 * 320 = 153600 answer : option c"
rectangle_area(divide(divide(multiply(multiply(divide(12, multiply(const_10, multiply(const_3, const_2))), 8), const_1000), add(3, 2)), const_2), multiply(divide(divide(multiply(multiply(divide(12, multiply(const_10, multiply(const_3, const_2))), 8), const_1000), add(3, 2)), const_2), 2))