Answer:
24 square units
Step-by-step explanation:
Try this method. First write the coordinates of each point on a new line. Repeat the first point at the bottom after the dashed line.
-2 -2
4 -2
5 1
2 3
-1 1
----------
-2 -2
Now multiply each x-coordinate from the left column by the y-coordinate below it in the right column and write the answer to the right. I did it below in bold.
-2 -2
4 -2 4
5 1 4
2 3 15
-1 1 2
----------
-2 -2 2
Now multiply each y-coordinate from the right column by the x-coordinate below it in the left column and write the answer to the left. I did it below in bold.
-2 -2
-8 4 -2 4
-10 5 1 4
2 2 3 15
-3 -1 1 2
----------
-2 -2 -2 2
Add the numbers in the left bold column and add the number in the right bold column.
-2 -2
-8 4 -2 4
-10 5 1 4
2 2 3 15
-3 -1 1 2
----------
-2 -2 -2 2
--------------------------------
-21 27
The area of the polygon is the absolute value of half of the right sum minus the left sum.
A = | 1/2 (right sum - left sum) |
A = | 1/2 (27 - (-21) |
A = | 1/2(48) |
A = |24|
A = 24
Area = 24 square units
