You asked:

is the eiffel tower older than the palace of westminster

No. The Eiffel Tower is not older than The Houses Of Parliament. The Eiffel Tower is 128 years, 6 months and 22 days old. The Houses Of Parliament is between 180 years and 10 months and 181 years and 9 months old.
the Eiffel Tower
the Eiffel Tower
the Eiffel Tower

The Houses Of Parliament
The Houses Of Parliament
The Houses Of Parliament