Double click the text where the area field is created so you can edit it. Then double click on the field inside the text editor. The field is usually shown as having a grey background. As tyhe 1st attachment.
This opens the Field dialog. Notice the Formula Field in the bottom right. Edit it to continue the formula, type a + and right-click to add another field into it (see 2nd attachment). This opens another field dialog. Set the field category to Objects, and Field names to Object. Then click the small button in top-middle (just below the Object type). Pick the new polyline you want to add to the area calc. This should return you to the field dialog, make sure you've got its Area selected and click OK (like 3rd attachment).
Thereafter just OK out of both dialogs and the field should now show the new total as per the 4th attachment.