To find the shaded area, we must subtract the unshaded area from the total area.
Total Area:
![30*25=750](https://img.qammunity.org/2023/formulas/mathematics/high-school/4ori6x7aiz3az6cs4l1rcan0cfblc25uny.png)
To find the area of the unshaded rectangle, we must first find the length and width. To do so, subtract the smaller lengths from the larger lengths.
![30-8=22\\25-4=21](https://img.qammunity.org/2023/formulas/mathematics/high-school/pcv6501hf272vnnqws6u0fsode8mgwmu1c.png)
The length is 22cm, and the width is 21cm.
Now that we know the length and width of the unshaded rectangle, we can find the area.
![21*22=462](https://img.qammunity.org/2023/formulas/mathematics/high-school/h4yg3sdx2i0xvvm72uyjjhbd4fmrfjnons.png)
Now that we know the area of the unshaded, we can subtract it from the total area to get the shaded part.
![750-462=288](https://img.qammunity.org/2023/formulas/mathematics/high-school/3uy5cagtadsoylz8sf5c34zers2pn59kkm.png)
The shaded portion is 288 cm^2