Answer:
[tex]21\ un^2.[/tex]
Step-by-step explanation:
Rectangle ABCD with vertices A(3, -2), B(6, -2), C(6, 5), and D(3, 5) is graphed in the coordinate plane.
Sides AB and CD are parallel to the x-axis and sides AD and BC are parallel to the y-axis.
So,
[tex]\text{Width}=AB=|6-3|=3\\ \\\text{Length}=AD=|5-(-2)|=7[/tex]
The area of the rectangle is
[tex]A_{ABCD}=\text{Width}\cdot \text{Length}\\ \\A_{ABCD}=3\cdot 7=21\ un^2.[/tex]