Not much i can add to this,
When we do up-lighting in banks, restaurants and clubs we would normally use "rope light" as its much cheaper than the little LED strips, easier to install (rather than plugging several LED strips together) and would be able to cover more area as it rolls off a drum like a cable does and you cut it on the specially marked lines to the desired length. You might not need the sort of meters we install, i'm sure you can buy it in pre-cut lengths, you would measure how much you req by measuring the same way you measure the border for wall paper only including the door openings.
something's you never mentioned were, do you want the lights to rotate colour? what sort of lighting is it for I.E. mood/ ambiance = low level of lighting, task = high levels of lighting? is it purely cosmetic?
Regards and good luck
Check- It Electrical