Lets not waste time and get started with the code.

add dependecy:

dependencies:
   backdrop: ">=0.0.0 <0.1.0"

run get package:

$ flutter packages get

drop in BackdropScaffold widget in your code:

import 'package:backdrop/backdrop.dart';
import 'package:flutter/material.dart';

void main() => runApp(new MyApp());

class MyApp extends StatelessWidget {
  @override
  Widget build(BuildContext context) {
    return new MaterialApp(
      title: 'Backdrop Demo',
      home: BackdropScaffold(
        title: Text("Backdrop Example"),
        backpanel: Center(
          child: Text("Backpanel"),
        ),
        body: Center(
          child: Text("Body"),
        ),
      ),
    );
  }
}

this is how it should look:

I have writter a more detailed explaination about backdroppackage and BackdropScaffold widget in another article. Have a look if want to know more options.