Answer:
The area of rectangle ABCD is [tex]18\ units^2[/tex]
Step-by-step explanation:
Plot the figure to better understand the problem
we have the vertices
A(-4, -2), B(-2, -2), C(-2, 7), D(-4, 7)
see the attached figure
The area of the rectangle is equal to
[tex]A=LW[/tex]
where
L is the length
W is the width
In this problem we have
[tex]L=BC=7-(-2)=9\ units[/tex] ---> difference of the y-coordinates
[tex]W=AB=-2-(-4)=2\ units[/tex] ---> difference of the x-coordinates
substitute
[tex]A=(9)(2)=18\ units^2[/tex]
