One fairly efficient way is to count newlines in the file. The following
program uses a feature of tr///, as documented in the perlop manpage. If your text file doesn't end with a newline, then it's not really a
proper text file, so this may report one fewer line than you expect.
$lines = 0;
open(FILE, $filename) or die "Can't open `$filename': $!";
while (sysread FILE, $buffer, 4096) {
$lines += ($buffer =~ tr/\n//);
}
close FILE;