No need to do to DateTime for this. Time::Piece has been included with the Perl core distribution for years.
#!/usr/bin/perl
use strict;
use warnings;
use 5.010;
use Time::Piece;
my $date = '4/25/10';
my $date_tp = Time::Piece->strptime($date, '%m/%d/%y');
say $date_tp->strftime('%Y-%m-%d');