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I want to know how can I apply this layout style with magento.
I guess I have to deisgn the cms page with 1 column and then, insert the green divisions inside this one column but I don’t know how to begin!!
If you want apply layout for whole site - its not just cms page.
Try to look at this screencast and Design Guide - its a very good references to start designing for magento. Also this thread very helpful.
Hope its help.