When order PCB to the manufacturers, the normally calculate price by area and layer account, a regular shape of PCB will save you some PCB manufacturing cost. Why, because the manufacturer will arrange the manufacturer panel base on you design, the manufacturer panel is normally rectangle shaped.
irregular shape PCB
While designed-in features are the predominant driver of PCB manufacturing costs, the more subtle factor of panelization efficiency can also have a dramatic impact. One of the key things to understand about your PCB order is that the manufacturer (some would say "fabricator") probably doesn't build individual boards. For the sake of automation and repeatability, their machinery and processes are setup to handle uniformly-sized "panels" of material. Unless your board is large, or requires special processing, it's likely it will flow through the manufacturing process on panels with other designs.
The second key thing to understand is that the cost of manufacturing panels is basically fixed for a given set of technology. This obviously doesn't include non-reoccurring charges (i.e. the "one time" setup required for a new design) but it is the case for the actual fabrication processes. Other than the price of materials and labor, not much varies from panel to panel.
Working from a fixed panel cost, you can quickly see that more boards packed into a set of panels means more efficient (less costly) manufacturing. And, generally speaking, the more boards that fit on a panel the lower the per-board price. This works out well for both customers and fabricators. However, it's one of those things that seems to be missed during PCB layout. Costs can skyrocket when your design differs from "what everyone else is doing" because your boards will need to be on panels all by themselves. Boards that are done using "common" technology are easily aggregated; meaning the cost of manufacturing the panel can be spread among multiple customers. This can be a huge cost saver. But if you're boards are going to be on panels by themselves, you have to take a close look at panelization efficiency.
To make the best use of the available space on a panel (and thus lower your cost), carefully choose the size of your board. Ask you manufacturer for the details of the panel sizes they prefer, and if possible pick board dimensions that are an integer divisors of the length and/or width of the panel size. Don't forget to account for the margin around the edge of the panel and spacing between the boards. Your manufacturer should be able to provide specific instructions for sizing your board for maximal efficiency -- if they can't (or won't), you may want to consider a more cooperative manufacturer. There are so many PCB manufacturer in Shenzhen China, choose one give you're the best support.