The area of the shaded region will be the area of the big rectangle minus the area of the small rectanlge. That is:
![A_S=A_(BR)-A_(SR)](https://img.qammunity.org/2023/formulas/mathematics/college/pv74cajn33xqqey50lr0pgzxgs7a39wogw.png)
The area of a rectangle is given by:
![A=wl](https://img.qammunity.org/2023/formulas/mathematics/high-school/jw1tiv8yl5al1lvyyixox3n0s2pe0v9x2j.png)
Then, plugging the value of each rectangle in the first equation we have:
![\begin{gathered} A_S=(5)(4)-(3)(3) \\ =20-9 \\ =11 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/3hhy0w23rhwws9t1ti3vxpac66n40krnim.png)
Therefore, the area of the shaded region is 11 sq in.