12v LED Strip & Arduino R3

Hi, I'm new to this so still learning about power sources (& everything else). I'm attempting to control about 9' of a 5w 12v white led strip using an Arduino R3. I understand I'll need to use an n-channel mosfet (L series) because of the voltage difference. To power the strip, I was going to use a 12v 3amp 35watt power adapter. If all that is good my question is how do I also power the arduino? Does it require its own separate power supply or can it use the same 12v adapter?

Thanks for the help!

The strip I have.

The power supply I was going to use.

You should be able to use the same power supply, with the barrel jack on the Arduino.

Thanks for the info! I will give it a try.