Context: Three points are plotted in the xy-plane: $(-3, 4)$, $(5, 3)$, and $(4, -3)$.

Answer: 24.5

Why: The shoelace formula gives the area straight from the coordinates:

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

$= \dfrac{1}{2}\left|(-3)(3-(-3)) + 5((-3)-4) + 4(4-3)\right| = \dfrac{1}{2}\left|-18 - 35 + 4\right| = \dfrac{49}{2} = 24.5$