To compute the perimeter of the trapezoid given the points A, B, C, and D, we first need the coordinates of these points. However, since the coordinates were not provided, we can use the lengths you've provided instead (12.3 units, 14.4 units, 16.3 units, and 13.8 units).
Assuming that these lengths correspond to the sides of the trapezoid ABCD in sequence, we can calculate the perimeter (P) using the formula:
\[ P = AB + BC + CD + DA \]
Let’s assume the sides correspond to:
- Length AB = 12.3 units
- Length BC = 14.4 units
- Length CD = 16.3 units
- Length DA = 13.8 units
Now calculating the perimeter:
\[ P = 12.3 + 14.4 + 16.3 + 13.8 \]
Calculating this step by step:
- \( 12.3 + 14.4 = 26.7 \)
- \( 26.7 + 16.3 = 43.0 \)
- \( 43.0 + 13.8 = 56.8 \)
Therefore, the perimeter of the trapezoid is:
\[ \text{Perimeter} \approx 56.8 \text{ units} \]
Final answer: 56.8 units.