True, it's not 1,200 feet and two stories of living space, bathroom, and HVAC. But it still shares much of the same properties as a full-blown addition, and here's why.
But first the good news: I think that, given the dimensions you quote below, this is something that a contractor could handle without breaking your bank account.
It's the 6-8 foot width that is especially encouraging, because he could span that easily with a beam. When you get into these very long spans (say, the entire width of your kitchen, that would be a major and expensive undertaking.
Also good: because the new space is so small, you will probably not have to add extra heating or cooling capacity.
Kitchen Bump Out = An AdditionStill, it's like a mini-house you're building--foundation footings, siding, electrical, shingles, perhaps a window--so that drives up the cost, too.
It is difficult to guess how much this would cost you. Maybe in a rural area with a lot of contractors looking for jobs it might be in the low five figures. Maybe even the mid- to high-four figures. In an urban area it might be well over five figures. I could be far off the mark, so getting three estimates is the only way to really know for certain.