The total reaction order of a chemical reaction is determined by adding up the individual orders with respect to each reactant. In this case, the rate equation is rate = K[A]²[B]², which indicates that the reaction order with respect to reactant A is 2 and the reaction order with respect to reactant B is also 2.
To calculate the total reaction order, we add up the individual orders: 2 + 2 = 4.
Therefore, the total reaction order of the given reaction is 4. Option (OB) is the correct answer.