Earlier quoted context omitted.
Got data on this? In my anecdotal experience price per square foot has shot up in urban places, which is where the jobs for young people tend to be concentrated.
http://www.aei.org/publication/todays-new-homes-are-1000-squ...
CPI has a component of "owner's equivalent rent", which should be removed before cost-correcting the price of housing. Otherwise, you are removing the increase of the item you are searching for an increase of (Housing accounts for 1/3 of the CPI correction.) Their graph is instead showing that the buying power of a dollar is roughly constant when 1/3 of the CPI basket-of-goods is corrected with CPI.
Calculated Risk has a more sane analysis, you will note that the graphs are corrected with "CPI less Shelter": http://www.calculatedriskblog.com/2016/11/real-prices-and-pr... He doesn't include price/sqft, but note that there is a 44% increase in real prices between the 90s and now. Square footage has not gone up by that much in 20 years.
As a side note: AEI is a fairly political org, I wouldn't rely on their accuracy for anything involving stats, or math in general.