Yes, it appears to me that you will need to trim the thicker black stripes at the edges down a bit to match the others within the body of the fabric. Take some pins and mark where you are planning on cutting to double check before picking up the scissors!
The thing that confuses me is your questions about placement. If you cut the fabric into 4 equal strips, each strip will have a floral portion and a geometric print portion. It's obvious that all the strips would need to be used with either the floral or geometric print on the inner side. Maybe I don't understand your question...