In chemical kinetics, the rate law for a second-order reaction can be expressed as:
\[
\text{Rate} = k[A]^2
\]
Here, \( [A] \) is the concentration of the reactant, and \( k \) is the rate constant.
This means the rate of the reaction is directly proportional to the square of the concentration of the reactant.
For example, if the concentration of \( A \) is doubled, the rate increases by a factor of 4, which is characteristic of a second-order reaction.
Thus, the correct answer is: The square of the concentration of the reactant.