Answer
$24$
Work Step by Step
The area of the triangle is given by
$$\pm\frac{1}{2}
\left|\begin{array}{rrr}{-4} & {0} & {1} \\ {4} & {0} & {1} \\ {0} & {6} & {1}\end{array}\right|=\pm\frac{1}{2} (6)(-4-4)=24.
$$
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