To answer this question, we need to find the distance for each of the sides of the trapezoid, using the formula of the distance:
![D=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}](https://img.qammunity.org/qa-images/2023/formulas/mathematics/college/ijelhrk1isbu825y5bor.png)
We need to identify each of the points to find the corresponding distances.
d1 (-6, 5) and (-1, 10) = sqrt (50) =7.071068 units.
d2 (-1, 10) and (4, -1) = sqrt (146) = 12.083046 units.
d3 (4, -1) and (2, -3) = sqrt (8) = 2.828427 units.
d4 (2, -3) and (-6, 5) = sqrt (128) = 11. 313708 units.
Then, we have to sum all of the partial results:
(7.071068 + 12.083046 + 2.828427 + 11. 313708) units = 33.296249 units or 33.3 units.
Therefore, the perimeter of the trapezoid is approximately 33.3 units.