Former chief executive Stephen Tindale told the Western Suburbs Weekly in December that the City of Subiaco spent about $52,000 on its primary litigation, while a City spokeswoman confirmed on Friday that the appeal had cost approximately $45,000.
Subiaco councillors unanimously voted to discontinue the appeal at a meeting last week.
Corporate services director Scott Hawkins said neither party would call for costs.
Get in front of tomorrow's news for FREE
Journalism for the curious Australian across politics, business, culture and opinion.
READ NOWMayor Heather Henderson said no members of the Councils for Democracy had shown any appetite to continue the appeal or contribute financial support.
"This tidies it up; the appeal was the last part of the reform that has been abandoned," Mrs Henderson said.
"Now the City has to concentrate on the capital City of Perth Act and what it will mean for the south ward of Subiaco."
Chief executive Ian Hill said he had spoken with local member Bill Marmion who assured him he would be consulted regarding the final Perth Act boundary alignment.
"We encourage our residents with any concerns to make contact with his office so he can be aware of those views," Mr Hill said.