This work describes the potential of thin, spray-deposited, large-area poly(3,4-ethylenedioxythiophene)/poly(styrene-4-sulfonate) (PEDOT: PSS) conducting polymer films for use as transparent supercapacitor electrodes. To facilitate this, we provide a detailed explanation of the factors limiting the performance of such electrodes. These films have a very low optical conductivity of sigma(op) = 24 S/cm (at 550 nm), crucial for this application, and a reasonable volumetric capacitance of C-V = 41 F/cm(3). Secondary doping with formic acid gives these films a DC conductivity of sigma(DC) = 936 S/cm, allowing them to perform both as a transparent conductor/current collector and transparent supercapacitor electrode. Small-area films (A similar to 1 cm(2)) display measured areal capacitance as high as 1 mF/cm(2), even for reasonably transparent electrodes (T similar to 80%). However, in real devices, the absolute capacitance will be maximized by increasing the device area. As such, here, we measure the electrode performance as a function of its length and width. We find that the measured areal capacitance falls dramatically with scan rate and sample length but is independent of width. We show that this is because the measured areal capacitance is limited by the electrical resistance of the electrode. We have derived an equation for the measured areal capacitance as a function of scan rate and electrode lateral dimensions that fits the data extremely well up to scan rates of similar to 1000 mV/s (corresponding to charge/discharge times > 0.6 s). These results are self-consistent with independent analysis of the electrical and impedance properties of the electrodes. These results can be used to find limiting combinations of electrode length and scan rate, beyond which electrode performance falls dramatically. We use these insights to build large-area (similar to 100 cm(2)) supercapacitors using electrodes that are 95% transparent, providing a capacitance of similar to 12 mF (at 50 mV/s), significantly higher than that of any previously reported transparent supercapacitor.