Find the perimeter of the trapezoid with these vertices.−−1, 3, −−4, 3, −1, 6, −−4, 6Give an exact answer (not a decimal approximation).Simplify your answer as much as possible.

To find the perimeter of a trapezoid, we need to find the length of all four sides and add them together. The vertices of the trapezoid are given as (-1,3), (-4,3), (-1,6), and (-4,6).

1. First, let's find the length of the base and the top of the trapezoid. These are horizontal lines, so their length is simply the difference in x-coordinates. The length of the base is |-1 - (-4)| = 3 units and the length of the top is also |-1 - (-4)| = 3 units.

2. Next, let's find the length of the left and right sides of the trapezoid. These are vertical lines, so their length is the difference in y-coordinates. The length of the left side is |3 - 6| = 3 units and the length of the right side is also |3 - 6| = 3 units.

3. Finally, add up the lengths of all four sides to find the perimeter: 3 + 3 + 3 + 3 = 12 units.

So, the perimeter of the trapezoid is 12 units.