Thanks to Merlyn's suggestion, I tried using Tk::grid geometry manager. It is working great except that I can't figure out how to remove something from the grid so that it could be re-grid-ed later. Here's a sample code. 
use strict;
use Tk;
require Tk::BrowseEntry;

my $mw = MainWindow->new;
my $b1 = $mw->BrowseEntry()->grid();
$b1->gridRemove;
MainLoop;

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This gives a "Can't locate auto/Tk/Entry/gridRemove.al" error. I think I am following the documentation, yet ...

In reply to Tk::grid and gridRemove() by gri6507

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