To find the perimeter of a trapezoid, you simply add the lengths of all its sides together.
Given the lengths of the sides:
- Side 1: 28 m
- Side 2: 27 m
- Side 3: 13 m
- Side 4: 12 m
The formula for the perimeter \(P\) is:
\[ P = \text{Side 1} + \text{Side 2} + \text{Side 3} + \text{Side 4} \]
Now, substituting the values:
\[ P = 28 + 27 + 13 + 12 \]
Calculating step-by-step:
\[ 28 + 27 = 55 \] \[ 55 + 13 = 68 \] \[ 68 + 12 = 80 \]
Therefore, the perimeter of the trapezoid is:
\[ \boxed{80 \text{ m}} \]