External routes and backbone area

Inter area routes can only go through area0  and to test it I set up a small lab.

(R1)   --------------   AREA 0
|                         |
|                         |
(R2)                    |   AREA 0
|                        
|                         |
(R3)---------------(R4)  AREA 2
|
|
(R5) AREA 1

1. R3 is a ABR. with interfaces in area 0, area 2 and area 1.

2. R4 is an ABR with interfaces in area 0 & area 2. It is also few external routes.

Q) When i trace the same xternal routes from R5, it goes directly tp R4 via R3 and by doing so it covers area 1 and 2. Itsn'y it suppose to go to R2 and R1 and eventually R4 ?