Answer:
The answer to your question is 15 u²
Step-by-step explanation:
Data
A (-2, 2)
B (4, -1)
C (-2, -3)
Area = ?
Process
1.- To solve this problem use determinants
| -2 2 |
Area = 1/2 | 4 -1 | = 1/2 [ (-2 x -1) + (4 x -3) + (-2 x 2) - (-2 x -3) - (-2 x -1)
| -2 - 3 | - (4 x 2)]
| -2 2|
= 1/2 [ 2 - 12 - 4 - 6 - 2 - 8]
= 1/2[ -30]
= 1/2(30)
= 15 u²