Going back a long way here, to another extinct creature, the probably-instantly-recognisable Dimetrodon. First things first, this one isn't a dinosaur. It's ancient, sure, and it certainly looks reptilian, but it occupies a different and pretty special place for us in evolutionary history.

First, some basic detail. Let's start with some familiar numbers and a creature most of us know,
Tyrannosaurus rex, who was one of the last dinosaur species alive at the very end of the Cretaceous period. Tyrannosaurus died out when the Cretaceous ended 65.5 million years ago, at the same time as a massive number of other species during the Cretaceous-Tertiary extinction event.
For some scale, look back at the entirety of recorded human civilisation, which covers the last 5,000 years (I'm rounding to nice even numbers here for the sake of scale) to the early Egyptians. Civilisation goes back a lot further of course, as do humans - forty times further back to 200,000 years ago, we have the earliest modern humans. Five times further back is just one million years. Five times further is five million years, before recognisable humans existed on the planet. Another ten times that is fifty million years, and the rise of the mammals is well underway.
A little further back, we're again at 65.5 million years, and Tyrannosaurus has just keeled over from (probably) a massive asteroid hit. It's a long way back, and even viewing the numbers above probably doesn't give us as humans a sense of the time scale involved, but numbers are all we have here.
Back to Dimetrodon. This fellow lived from 265-280 million years ago. They were walking about at
least 200 million years before Tyrannosaurus, who is almost a neighbour of ours in comparison. It lived so far back it pre-dates
all of the dinosaurs.
If Dimetrodon isn't a dinosaur, where does it fit? Its sideways splayed legs were like primitive reptiles, unlike dinosaurs with their legs underneath. While it was reptilian-like, it had already split from the true reptile side of the family and developed some interesting features that would eventually takes its family (the Synapsids) down the path to becoming mammals. It likely no longer had scales to the level of reptiles but naked skin instead, and its teeth had differentiated into multiple specialised types - that's where it gets its name, Dimetrodon literally means two measures of teeth. This same specialisation of tooth types lead to the range of teeth we have in our own mouths.
The massive sail on its back seems to have been an aid in controlling body temperature. When faced into the sun it may have reduced the time to wake up to an operating temperature by almost two thirds. It may have been able to wake up and move around energetically hours before its prey were able to warm up and escape.

As far as size, Dimetrodon reached up to 3.5 metres in length, and looks to have been the largest predator of its time. We can perhaps be thankful that even though Dimetrodon died out at the end of the Permian period before the rise of the dinosaurs, its kind (the Synapsids) survived; we too are Synapsids.