Going through the same menu for every file is a waste of your time, so instead set up Firefox to download RAR files to the same folder every time without asking.

So yes—you can extract the files. But no—you won’t be able to just tap and install the game unless it’s a valid .ipa file and you’re using an alternative installation method.

Instead, RAR files have a .rar file extension. If you've downloaded software from the web, you may have gotten a RAR file, because the compression makes the download go more quickly.