Getting a Container inside an Expanded inside a Row to expand vertically to fit the space available-CodePudding

I have a row containing four Expanded widgets. Its code looks as follows:

Row(
            children: [
              Expanded(
                child: Container(
                  width: double.infinity,
                  color: Colors.blueGrey,
                  padding: const EdgeInsets.all(10),
                  child: (Text(
                    lessonData.language,
                    style: const TextStyle(
                      color: Colors.white,
                    ),
                  )),
                ),
              ),
              Expanded(
                flex: 1,
                child: Container(
                  width: double.infinity,
                  color: Colors.blueGrey,
                  padding: const EdgeInsets.all(10),
                  child: (Text(
                    lessonData.cEFRLevelName,
                    style: const TextStyle(
                      color: Colors.white,
                    ),
                  )),
                ),
              ),
              Expanded(
                flex: 1,
                child: Container(
                  width: double.infinity,
                  color: Colors.blueGrey,
                  padding: const EdgeInsets.all(10),
                  child: (Text(
                    lessonData.lessonTopic,
                    style: const TextStyle(
                      color: Colors.white,
                    ),
                  )),
                ),
              ),
              Expanded(
                child: Container(
                  width: double.infinity,
                  color: Colors.blueGrey,
                  padding: const EdgeInsets.all(10),
                  child: (
                      Text(
                    lessonData.lessonHeading,
                    style: const TextStyle(
                      color: Colors.white,
                    ),
                  )),
                ),
              )
            ],
          ),

The resulting display is unsatisfactory if any of the texts in the Containers inside the Expanded widgets are forced to wrap. As in this image:

Just an excerpt of the code:

Container(color: Colors.red,child: Row(
            children: [
              Expanded(...),
              Expanded(...),
              //and so on...

This works only on an aesthetic level: each Text will still get resized, but you won't notice.