Answer:
Correct option: second one -> 24 square units
Step-by-step explanation:
First we need to find the length of each side of the trapezoid, and we do that finding the distance between points:
AB = sqrt( (-1 - (-3))^2 + (2 - (-2))^2) = 4.4721
BC = sqrt( (3 - (-1))^2 + (2 - 2)^2) = 4
CD = sqrt( (5 - 3)^2 + (-2 - 2)^2) = 4.4721
DA = sqrt( (-3 - 5)^2 + (-2 - (-2))^2) = 8
The points B and C have the same y-coordinate, and the points D and A also have the same y-coordinate, so they are the bases of the trapezoid.
The height of the trapezoid is the difference in y-coordinate of points B and A:
height = 2 - (-2) = 4
So the area of the trapezoid is:
Area = (BC + DA) * 4 / 2 = (4 + 8) * 2 = 24 square units
Correct option: second one
