Another variant [if the rectangle's face material is not critical] is Jeff's last one using offset to make the inner rectangle then draw a rectangle from the outer rectangle's corner to the inner rectangle's nearest corner. Repeat that another three times... OR double click it to select its face and 4 edges, copy what's selected to the clipboard (ctrl+C) and paste it [one corner will automatically become the handle], now simply paste (ctrl+V) three copies into place - one copy will have a vertex you can snap to, the others need you to hover over a vertex and use shift/inference to snap as needed. [both ways ~12 clicks as before]
Another variant is to draw one corner square, copy/paste it into the other corners as above, then draw another rectangle between these four square's inner free vertices... [~11 clicks !]
There are many ways to do this - shortcuts make things MUCH faster...