Hi Kitty,
Each woman's perimenopause is unique, from what I can tell. For many of us, though, irregular periods that come at less-predictable times, heavier and lighter, longer and shorter, more cramps, lighter cramps, even some clots--can all happen to the same woman regardless (I think) of what her typical periods have been in the past. I think the unpredictable mash-up is universal, though.
For me, when my periods were still regular but I was approaching menopause, I had a few months where my cramps were unbearable (I was so grateful they occurred on weekends because I was lying on the couch and trying not to groan) and then they were gone for good!
Later, I got some shorter periods and some longer, and then toward the end I had a few weeks where I was spotting so lightly that I couldn't use a tampon, and a a pad or liner would have been ridiculous. (I just switched almost exclusively to black underwear just in case. I suppose those "period pants" would have served me well, but I wasn't about to buy something new when I might not ever need it!) After a few months of super-long micro-spotting, I went for 11 months without a period at all…then I got one more. Though it was light, it mimicked the beginning, middle, and end stages I usually saw in the course of a normal 4-5 day period in about 24 hours. Then--POOF! All done.
So, getting back to you, yes, a period that lasts more than a week--even 10 days--is considered normal. Do you have a check-up planned in the near-ish future? If you have any concerns about your specific experiences (I won't call them "symptoms" because perimenopause is not an illness), it wouldn't hurt to touch base with your doctor, especially if she/he is familiar with your history--pelvic exams, birth control, any situations with cramps, fibroids, etc.
I know this may not be a fun time for you, but as some cultures both past and present consider perimenopause a transition into the phase of wise woman or respected and powerful elder, I want to wish you congratulations. We may be awash in the negativity and stigma of the Western mindset, but we don’t have to accept it!