The shape of your favorite kite is triangular. The coordinates of the three vertexes of the kite are located at (4,1), (0,-8), and (-4,1). Find the area of

The shape of your favorite kite is triangular.
The coordinates of the three vertexes of the kite are located at (4,1), (0,-8), and (-4,1).
Find the area of the region.

\(\begin{array}{|rcll|} \hline \text{Area } &=& \frac12\cdot b\cdot h \\ &=& \frac12\cdot [~4-(-4)~]\cdot [~1-(-8)~] \\ &=& \frac12\cdot (4+4)\cdot (1+8) \\ &=& \frac12\cdot 8\cdot 9 \\ &=& 4\cdot 9 \\ &=& 36 \\ \hline \end{array} \)