Answer
48 square units
Work Step by Step
Using the point $(2,2)$, we can create two triangles and a rectangle to find the areas.
The upper triangle has points at $(-4,2), (2,5)$, and $(2,2)$. The lower triangle has points at $(2,-2), (4,-2)$, and $(2,5)$. The points of the rectangle are $(4,-2), (2,2), (2,-2)$, and $(-4, -2)$.
upper triangle: $5-2=3$
$2-(-4)=2+4=6$
lower triangle: $4-2=2$
$5-(-2)=5+2=7$
Rectangle: $4-(-4)=4+4=8$
$2-(-2)=2+2=4$
$1/2*(3*6)+1/2*(2*7)+8*4$
$1/2*18+1/2*14+32$
$9+7+32$
$16+32$
$48$
