To calculate the total amount Alexandra will pay for her meal including a 10% tip, we start with the cost of the meal, which is $20.
First, we find the amount of the tip by calculating 10% of the meal cost:
\[ \text{Tip} = 10% \text{ of } 20 = 0.10 \times 20 = 2 \]
Next, we add the tip to the cost of the meal to find the total amount she will pay:
\[ \text{Total} = \text{Meal Cost} + \text{Tip} = 20 + 2 = 22 \]
Therefore, Alexandra's meal plus the tip, before tax, is:
\[ \boxed{22.00} \]