Kendall, is it linoleum your having fitted or Vinyl (PVC)? In UK usage terms, I'd think "lino" very rare although the likes of me will still refer to vinyl flooring as "lino".

Out of curiosity, I tried a UK flooring site for kitchen vinyl flooring and your dimensions. In rough figures,

I picked one at £10 per square metre.

Vinyl costs = £130, Fitting costs £50, Delivery costs = £30

Of course that doesn't include any other work that needs doing. When our kitchen was done it had a plywood under floor done for example. As well as the material costs, that part took longer than the laying of the vinyl. I don't know what the total bill was or how it broke down but I'd suggest the total cost of the bit you don't see was more than that of the top surface.

As a side comment, I've been amazed how quickly professional fitters of carpets and vinyl can get the job done. In the past, my mother and I have tried and turned what they can do in under an hour into an all day job complete with the rows when things aren't going right. And I remember one job we had them in for where we lived before that I reckoned would need a join but they made it look like child's play to do it in one piece!