Answer:
Part A)
[tex]A(2,2)[/tex]
[tex]B(-4,2)[/tex]
Part B) The plot of point E in the attached figure
Step-by-step explanation:
Part A)
we know that
The area of a rectangle is equal to
[tex]A=LW[/tex]
In this problem we have
[tex]L=AB[/tex]
[tex]W=CD=6\ units[/tex]
[tex]A=36\ units^{2}[/tex]
substitute in the formula of area and solve for L
[tex]36=L(6)[/tex]
[tex]L=6\ units[/tex]
The figure ABCD is a square
Find the coordinates of point A
The point A will have the same x-coordinate of point D and to find the y-coordinate sum [tex]6[/tex] units to the y-coordinate of point D
so
[tex]A(2,-4+6)------> A(2,2)[/tex]
Find the coordinates of point B
The point B will have the same x-coordinate of point C and to find the y-coordinate sum [tex]6[/tex] units to the y-coordinate of point C
so
[tex]B(-4,-4+6)------> B(-4,2)[/tex]
Part B)
Plot point E at [tex](2,4)[/tex]
see the attached figure
