ANSWER :
The perimeter is 46 units
EXPLANATION :
From the problem, we have the vertices of the polygon ABCDEF.
By counting the units between the vertices, we have :
AB = 10, BC = 9, CD = 14, DE = 5, EF = 4 and FA = 4.
The perimeter is the sum of the sides of the polygon.
That will be :
![\begin{gathered} P=10+9+14+5+4+4 \\ P=46 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/zeg7isx6pf23rxxorsy1kp53vk48e5tamq.png)