Respuesta :
The area of the given trapezoid with coordinates of A, B, C and D is gotten to be; Area = 20 square units
How to find the area of a trapezoid?
We are given the coordinates of trapezoid ABCD as;
A = (-5, -2)
B = (-1, 2)
C = (0, -1)
D = (-2, -3)
Let us find the length of each side of the trapezoid by finding the distance between points:
AB = √[(-1 - (-5))² + (2 - (-2))²)]
AB = √32
BC = √[(0 - (-1))² + (-1 - 2)²)
BC = √10
CD = √[(-2 - 0)² + (-3 - (-1))²]
CD = √8
DA = √[(-5 - (-2))² + (-2 - (-3))²)]
DA = √10
Solving for the area from online calculator gives us 20 square units.
Read more about Area of Trapezoid at; https://brainly.com/question/1463152