/usr/lib/x86_64-linux-gnu/perl5/5.20/APR/ is in libapache2-request-perl 2.13-4+b1.
This file is owned by root:root, with mode 0o755.
..
/usr/lib/x86_64-linux-gnu/perl5/5.20/APR/Request/
/usr/lib/x86_64-linux-gnu/perl5/5.20/APR/Request.pm
/usr/lib/x86_64-linux-gnu/perl5/5.20/APR/Request.pod
/usr/lib/x86_64-linux-gnu/perl5/5.20/APR/Request/Apache2.pm
/usr/lib/x86_64-linux-gnu/perl5/5.20/APR/Request/Apache2.pod
/usr/lib/x86_64-linux-gnu/perl5/5.20/APR/Request/CGI.pm
/usr/lib/x86_64-linux-gnu/perl5/5.20/APR/Request/CGI.pod
/usr/lib/x86_64-linux-gnu/perl5/5.20/APR/Request/Cookie.pm
/usr/lib/x86_64-linux-gnu/perl5/5.20/APR/Request/Cookie.pod
/usr/lib/x86_64-linux-gnu/perl5/5.20/APR/Request/Error.pm
/usr/lib/x86_64-linux-gnu/perl5/5.20/APR/Request/Error.pod
/usr/lib/x86_64-linux-gnu/perl5/5.20/APR/Request/Hook.pm
/usr/lib/x86_64-linux-gnu/perl5/5.20/APR/Request/Hook.pod
/usr/lib/x86_64-linux-gnu/perl5/5.20/APR/Request/Param.pm
/usr/lib/x86_64-linux-gnu/perl5/5.20/APR/Request/Param.pod
/usr/lib/x86_64-linux-gnu/perl5/5.20/APR/Request/Parser.pm
/usr/lib/x86_64-linux-gnu/perl5/5.20/APR/Request/Parser.pod