Earlier quoted context omitted.
You can absolutely power the whole of the US by 100 square miles of solar panels in the southwest. The cost would be to build the solar panels, the square mile of batteries, replace all the power lines in the US with cables that can handle very high voltage (twice or more than what current power transmission cables can handle) needed for long-distance, and replace all the power stations connected to those so that can…
It's a lot more than 100 square miles. Here's an NREL report on this exact question: https://www.nrel.gov/docs/fy13osti/56290.pdf If you extrapolate (see analysis here: https://www.freeingenergy.com/how-much-solar-would-it-take-t... ), you get 21,250 square miles. Elon musk says 100 miles x 100 miles, which is 10,000 square miles. Both of those figures are just for current electricity demand, so if we electrified all…
Energy consumption is actually dropping in the US currently, but I don't expect that trend to continue indefinitely, eventually we will get to 100x energy usage. And you're right, at that point solar wouldn't cut it.
But that's a far cry from your original post saying it won't work for a developed nation, when it clearly can work for the world's richest and most energy intensive nation.
As for the very far future when solar won't cut it? I'm sure we'll use a lot of nuclear, and by then probably a lot of nuclear fusion. Or maybe we won't have those crazy energy requirements because we've moved most industry off the planet like per Jeff Bezos' vision of the future. It's enough to get ourselves sorted in the present, so we can have a bright future, and solar and wind power can help us achieve that. There's no reason nuclear can't be a part of that picture, but they have a hard challenge ahead because current nuclear is not competitive cost wise with renewables plus energy storage.