To calculate the perimeter of the composite figure, we need to add up the lengths of all the outer edges of the figure. Here’s the step-by-step process:

1. Identify all the outer edges of the figure. For each segment, either the length is given, or it can be calculated from other measurements.

2. Add the lengths of all the outer edges together.

Let’s break it down:

• The horizontal top edge is 12 m.
• The vertical left edge is 10 m.
• The horizontal bottom edge is 7 m.
• The vertical right edge is 8 m.
• The horizontal missing segment can be calculated:
  $12 \, \text{(total top edge)} - 7 \, \text{(bottom horizontal segment)} = 5 \, \text{m}$
• The vertical missing segment on the left can be calculated:
  $10 \, \text{(total left edge)} - 8 \, \text{(right vertical segment)} = 2 \, \text{m}.$

Now, add up all the outer edges:

$12 + 10 + 7 + 8 + 5 + 2 = 44 \, \text{m}.$

Final Answer:

The perimeter of the composite figure is 44 m.