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We start by graphing the vertices and drawing the figure:
We have a triangle with base b = 5 (the distance between (3,-2) and (-2,-2)) and height h = 2 (the perpendicular distance from the base to the vertex (0,0)).
We can calculate the area of this triangle as:
[tex]A=\frac{1}{2}bh=\frac{1}{2}\cdot5\cdot2=5[/tex]Answer: A = 5 units²