Dilate the figure with the origin as the center of dilation.

(x,y) → (0.5x, 0.5y)​

We want to use a coordinate plane to find the area of the given rectangle.

We will see that the area is 36 units squared.

So we only know the vertices of the rectangle, which are:

• (-4, 9)
• (-4, -3)
• (-1, -3)
• (-1, 9).

The first thing we can do, is graph these in a coordinate axis so we can see our rectangle.

Below you can see the graph of the rectangle where the four vertices are graphed and I drew the sides of the rectangle.

Now that it is graphed is easy to see the measures of each side, one side measures 3 units (from -1 to -4 on the x-value) and the other side measures 12 units (from -3 to 9 on the y-value)

Then the area of the rectangle is:

A = 3*12 = 36 square units.

If you want to learn more about rectangles and areas, you can read:

brainly.com/question/17297081

the formula for area of a rectangle is

Area = length x width

since both the length and the width of the rectangle lie on the same x and y axis, we can find the distance between the width and the distance between the length by subtracting

(-4,9) (-4,-3)

these points lie on the same x axis, so they create a vertical line

9-(-3) = 12

12 units is the distance between them

(-4,-3) (-1,-3)

these points lie on the same y axis, so they create a horizontal line

-1-(-4) = 3

3 units is the distance between them

now that we have the length and the width, we can find the area

A = 12 x 3

A = 36 units²