Yes your rug should be about 3-4' longer and deeper based on photo.

How far deep and centered would that go under end table? How far under the sofa?

You already have carpet, why another rug? Skip the rug. I'd spend the money on higher end tables and more substantial lamps that match the heft of the sofa. Right now your room is all brown. No coffee table with recliners,.

jck910 I just got the area rug to break up the beige carpet. My tables are custom handmade by the amish. I gave them the design and it took them 8 weeks to make. The 3 table pieces cost more than my sofa (real leather) and weigh close to it too. They are pretty high end. I suppose I could change out the lamps. Didn't think about that.

I wasn't questioning the quality of the tables, it just that they should be as high as the sofa arms so don't have to reach over the arm to retrieve items on them.

jck910 The tables were perfect until I decided I need a different sofa. I'm kind of stuck with it all now. I'm slowly trying to get everything the way I want. It can be such a struggle sometimes.