The standard user defaults is stored in a single file in "App Home Directory/Library/Prefereneces/". The archived data is part of that file. It is not saved as a separate file. If you want to get the data size, use .length property of NSData.
NSData *archivedData = [NSKeyedArchiver archivedDataWithRootObject:self.shapeLayers];
NSUInteger size = [archivedData length];
[[NSUserDefaults standardUserDefaults] setObject: forKey:@"mySavedArray"];