Answer:
-12.5
Step-by-step explanation:
To easily get the area of the parallelogram, we will label the vertices .
A= 1, -2.... X1, y1
B= 5,8... X2, y2
C= 3,3.... X3, y3
D= 0,8.... X4, y4
Before that, let me state that:
The Area of a parallelogram is defined as :
1/2 det (X1 (y2 - y3) + X2 ( y3 - y1) + X3 (y1 - y2)
In the order from the question:
A = (-2(8-3) + 5(3-3) + 3( 3-8)) / 2
A = -2(5) + 5(0) + 3(-5)
A = -10 + 0 - 15 / 2
A = -25/2
A = -12.5
