Answer
81/2 square units
Work Step by Step
The vertices of the triangle are $(-5,4), (4,4)$, and $(-2,-5)$.
The side-length of the triangle is $(4--5)$, or $9$ units. One point along that side of the triangle is $(-2, 4)$. We can use this point to determine the height of the triangle.
$(4--5) = 9$
$9*9/2=81/2$