How to make flutter application height and width adapt to different screen sizes?

Using MediaQuery class:

MediaQueryData queryData;
queryData = MediaQuery.of(context);

MediaQuery: Establishes a subtree in which media queries resolve to the given data.

MediaQueryData: Information about a piece of media (e.g., a window).

To get Device Pixel Ratio:

queryData.devicePixelRatio

To get width and height of the device screen:

queryData.size.width
queryData.size.height

To get text scale factor:

queryData.textScaleFactor

Using AspectRatio class:

From doc:

A widget that attempts to size the child to a specific aspect ratio.

The widget first tries the largest width permitted by the layout constraints. The height of the widget is determined by applying the given aspect ratio to the width, expressed as a ratio of width to height.

For example, a 16:9 width:height aspect ratio would have a value of 16.0/9.0. If the maximum width is infinite, the initial width is determined by applying the aspect ratio to the maximum height.

Now consider a second example, this time with an aspect ratio of 2.0 and layout constraints that require the width to be between 0.0 and 100.0 and the height to be between 0.0 and 100.0. We'll select a width of 100.0 (the biggest allowed) and a height of 50.0 (to match the aspect ratio).

//example
new Center(
 child: new AspectRatio(
  aspectRatio: 100 / 100,
  child: new Container(
    decoration: new BoxDecoration(
      shape: BoxShape.rectangle,
      color: Colors.orange,
      )
    ),
  ),
),

Also you can use:

• LayoutBuilder
• FittedBox
• CustomMultiChildLayout

MediaQuery is a good option for this scenario

for example, I just want to create a container with half of the available width and height of my mobile screen

class MyContainer extends StatelessWidget {
  @override
  Widget build(BuildContext context) {
    final size = MediaQuery.of(context).size;
    return Container(
      color:Colors.orange,
      width: size.width/2,
      height: size.height/2
    );
  }
}