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Area region (2, -2) (4, 5) (6, 2)

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A (2,−2), B (4,5), C (6,2)

$\text { Area }=\frac{1}{2}\left|x_1\left(y_2-y_3\right)+x_2\left(y_3-y_1\right)+x_3\left(y_1-y_2\right)\right|$

$=\frac{1}{2}|2(5-2)+4(2+2)+6(-2-5)|$

$=\frac{1}{2}|2(3)+4(4)+6(-7)|=\frac{1}{2}|6+16-42|=\frac{1}{2}|-20|=\frac{1}{2} \times 20=10$

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