Question

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).

Answer 1

The answer is

2

2

-4

2

Explanation:

Answer 2

Part A)

`A(2,2)`

`B(-4,2)`

Part B) The plot of point E in the attached figure

Explanation:

Part A)

we know that

The area of a rectangle is equal to

`A=LW`

In this problem we have

`L=AB`

`W=CD=6\ units`

`A=36\ units^(2)`

substitute in the formula of area and solve for L

`36=L(6)`

`L=6\ units`

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
`6` units to the y-coordinate of point D

so

`A(2,-4+6)------> A(2,2)`

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
`6` units to the y-coordinate of point C

so

`B(-4,-4+6)------> B(-4,2)`

Part B)

Plot point E at
`(2,4)`

see the attached figure