As the given figure can be considered as two rectangles,
Consider the first rectangle,
The length is, 9-2 = 7 cm,
The width is, 10-6 = 4 cm.
Therefore, the perimeter is,
![P=2(l+w)=2(7+4)=22\text{ cm}](https://img.qammunity.org/2023/formulas/mathematics/college/vjod21nzjlwia43w2w8k9w6a4t7zez2zda.png)
For the second rectangle,
![P=2(l+w)=2(10+2)=24\text{ cm}](https://img.qammunity.org/2023/formulas/mathematics/college/wc2xb8e4u6lyzft0u7xqm1ft0vulhnfxad.png)
Therefore, the total perimeter is,
22 cm + 24 cm = 46 cm.