JSFiddle - React, Tailwind, and code Playground
HTML
<textarea rows="1"></textarea>
<div class="r"></div>
JavaScript
$("textarea").keypress(function(e){
var r = $(this).attr('rows');
if (e.keyCode === 13)
{
r++;
$('.r').text('количество строк - ' + r);
$(this).attr('rows',r);
}
});