Two sides of a triangle are 4 m and 9 m in length and the angle between them is increasing at a rate of 0.02 rad/s. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is /3. Note: The area A of a triangle is given by the law of sines: A = absin(6), where a and b are two sides and is the angle between them.