If the size of the electrode is doubled, then the internal resistance becomes
Internal resistance (r) of a cell depends on factors like:
$$
\text { r }= { \rho}\frac{ l}{ A}
$$
here, ρ = resistivity of the electrolyte, l = distance between electrodes and A = cross-sectional area of the electrodes
Doubling the electrode size results in a surface area in contact with the electrolyte increasing. Since resistance is inversely proportional to area, increasing the electrode size will decrease the internal resistance.