Answer:
![\begin{equation*} 241\text{ mi}^2 \end{equation*}](https://img.qammunity.org/2023/formulas/mathematics/college/qr85me7l58e1ww0blpj594ye2tt6c76fo8.png)
Explanation:
The range of a data set is the difference between the greatest area and the smallest area, then for the Eastern and Western respectively:
![\begin{gathered} Eastern\text{ cities:} \\ Range=\text{ 305-90} \\ Range=215\text{ mi}^2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/yd3q9e3bqu5i13729hrkftyk5e285d58i4.png)
![\begin{gathered} Western\text{ cities:} \\ Range=503-47 \\ Range=456\text{ mi}^2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/78vmd9pynxkhny1fsmjy6npspozz3qrhk2.png)
Then, find the difference between the range for the cities in the west and the cities in the east;
![456-215=241\text{ mi}^2](https://img.qammunity.org/2023/formulas/mathematics/college/tpdsew4m3d41asev3tp8xb77hf4bak8ocs.png)