Point c and point d are plotted on the graph. plot points a and b to form rectangle abdc with an area of 36 square units. plot point e at (2,4).

Part A)

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

In this problem we have

substitute in the formula of area and solve for L

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 units to the y-coordinate of point D

so

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 units to the y-coordinate of point C

so

Part B)

Plot point E at  

see the attached figure