Help determining square steel tubing size for a gate

The steel solves the sagging problem... The next problem will be the post.... Just a 5' gate... The post will probably be fine... House I sold a few years back I'd built a 14' gate out of 1.5" x 095 tube hung off a 3.5" steel post that was connected to a second 3.5" steel post by a pair of 1.5 x .095 tubes.. I could stand on the outboard end of that gate & it wouldn't sag at all...

For a 5' gate .065 wall 1.5" tube would be fine....
Thanks for your reply. Although I think the single 4 x 4 post in concrete will be enough, I was planning on tying that post to the adjacent post which is about 6 feet away with a treated 2 x 4. I was thinking on attaching the 2 x 4 about 1 foot above the ground on the adjacent post, and attaching the other end, about 1 foot from the top of the supporting host. I was thinking that would help spread the weight of the gate over to posts. I am actually looking forward to this project. I love to weld.