What you gain in additional charge will offset the AC power draw you need to cool down your car after you parked it in the sun for a full day.
A more effective solution would be to have a carport with a solar panel roof (10~15m2) that way you have shade, affordable panels, and an actual charge capacity of about 50km. It doesn't move with the car, but since we are talking about work commute your car will probably be parked at the same location for 5 days/week during peak sun output.
Mind you that the panels used on the Toyota prototype are still very expensive. At current prices they probably don't make economic sense.