#### Answer

perimeter = $44 \text{ m}$

#### Work Step by Step

The height of the polygon is 10 meters.
This means that the unknown vertical side length is:
$=10-2 = 8$ m
The width of the polygon is 12 meters.
This means that the unknown horizontal side length is:
$=12 - 7 = 5$ m
The perimeter of a polygon is equal to the sum of all the lengths of its sides.
Thus, the perimeter of the polygon is:
$=(12 + 10 + 7 + 8 + 5 + 2) \text{ m}
\\=44 \text{ m}$