How to set multiline text using Text widget?

Wrap your Text widget using a Flexible widget.

like,

//updated read: aziza comment
  Flexible(//newly added
    child: Container(
      padding: EdgeInsets.fromLTRB(0.0, 0.0, 0.0, 15.0),
      child: Text(
        _placeCard.description,
        style: TextStyle(),
        softWrap: true
      ),
    )
  )

A simple example in below link:

https://gist.github.com/Blasanka/264510a0e7e5aaa151f02ada19fd466d

Update:

Above solution wraps the Text widget but in your question code snippet, the problem is you are using two Columns inside a Row and you havent added constraint. So, the easy solution to wrap those two Column widget using Flexible widgets.

like below,

Row(
  mainAxisSize: MainAxisSize.min,
  children: <Widget>[
    Flexible(
      child: Column(
      //...
      ),
    ),
    Flexible(
      child: Column(
      //...
      ),
    ),
  ],
),