Hello!
My boyfriend and I are planning a ten day trip to North Tanzania and Zanzibar in late March. We would like to spend some time in the Serengeti on a short safari, hanging out on the beach Zanzibar and just enjoying life in the country. Do you think we have time for a relaxed holiday like this in just ten days? Any suggestions on an itinerary or places not to miss?
Any suggestions/ideas would be very helpful!
Thanks!
Jenna

What's your budget?
If you can afford it, flying to the Serengeti will give you plenty of chances for spending a decent amount of time in the park and still enjoying several days in Zanzibar.
Or you can drive to Serengeti making a stop in Ngorongoro, get a glimpse of the countryside on your way to the Serengeti plains, then flying to Zanzibar from there (I believe you can't fly directly from Serengeti to Zanzibar, but cannot confirm).
It all depends on how long you want to stay in Zanzibar.