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 what is the area of the park ( in sq . m ) ?
"let length = 3 x km , breadth = 2 x km distance travelled by the man at the speed of 12 km / hr in 8 minutes = 2 ( 3 x + 2 x ) = 10 x therefore , 12 × 860 = 10 xx = 425 km = 160 m area = 3 x × 2 x = 6 x 2 = 6 × 1602 = 153600 m 2 answer is 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))