Ethernet Trace Layout with PoE & Integrated Magnetics
It depends on the frequency you want to run through the trace, which will depend on if you are running 10Mbit, 100Mbit or 1000Mbit. 

Since this uses a 10/100 Phy (the chip that has PHYisical transcievers to drive the ethernet line) if you want to run at 100Mbit, you will need to pay attention to the routing. Ethernet lines ran on the PCB are differential microstrip traces which are a class of transmission lines, so the impedance of the line needs to be matched to the source and the load (the transformer and phy).

Since the mediatek phy doesn't have any reccomendations, these should be a good fit:

From PCB Layout for the Ethernet PHY Interface


  PCB Layout Recommendations
  
  
  Keep the traces between the magnetic module and the RJ-45 jack as short as possible — their length should be less than 25 mm (1 inch),
  and their impedance should be kept below 50 Ω. No vias or layer
  changes are allowed. A module that integrates the RJ-45 jack with the
  magnetic module is preferred.
  The Tx+/Tx- and Rx+/Rx- traces should always be as short as possible (less than 25 mm or 1"). If longer traces are absolutely
  required, the maximum length is limited to 75 mm (3"). The individual
  trace impedance of Tx+/Tx- and Rx+/Rx- must be kept below 50 Ω, and
  the differential characteristic impedance of the pair must be 100 Ω.
  Route each Tx+/Tx- and Rx+/Rx- pair together, keeping their separation under 0.25 mm (0.01"), using 0.25 mm (0.01") traces. Keep
  the Tx+/Tx- and Rx+/Rx- trace lengths as equal as possible.
  The separation between the Tx+/Tx- and the Rx+/Rx- differential pairs must be at least 0.5 mm (0.02"). It is best to separate them
  with a ground plane.
  Avoid any off-board wire assemblies. If wire assemblies are needed, use a twisted pair to connect Tx+/Tx- and Rx+/Rx-, and keep their
  length as short as possible., no more than 75 mm (3").
  Never use right-angle traces — use 45° angles or curves in traces.
  Trace widths should not vary.
  Use precision components (1 percent or better) in the line-termination circuitry.
  Ensure that the power supply is well regulated (3.3 V DC ±5%).
  


From the look of it, the board pictured does not have matched lines or differential traces. I would think that this might work for 10BaseT since its frequency requirements are lower, but that is just a guess.