The perimeter of the given polygon is 40 meters.
To find the perimeter of a polygon, you simply add up the lengths of all its sides. In this case, you have a polygon with 5 sides, and the lengths are given as 6m, 7m, 9m, 9m, and 9m.
Perimeter = Sum of side lengths
![\[ P = 6 \, \text{m} + 7 \, \text{m} + 9 \, \text{m} + 9 \, \text{m} + 9 \, \text{m} \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/dfu3whmlcc9a7mxc20jgmns7p2abf8fq1q.png)
Now, add the lengths:
![\[ P = 6 + 7 + 9 + 9 + 9 \, \text{m} \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/hlpc18x01x8anuxikr2cuhtl9rjwinxdh0.png)
![\[ P = 40 \, \text{m} \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/89lqghuhn5cngl6hk3uqbv61wsgz6w451z.png)
So, the perimeter of the polygon is 40 meters.
The probable polygon is attached below