1. The problem states that the shape has vertices with values 2 (top-left), 1 (top-right), and 3 (bottom-right), and the equation given is $S_3 = 24$. 2. We interpret $S_3$ as the sum or some function involving these points. Since the shape is a triangle, $S_3$ likely represents the area or a related measure. 3. To find the area of the triangle, we can use the formula for the area of a triangle given coordinates or side lengths. However, since only vertex values are given, assume these values represent side lengths or heights. 4. If the base is the horizontal distance between points 2 and 1, and the height is the vertical distance to point 3, then the area $A$ is given by: $$A = \frac{1}{2} \times \text{base} \times \text{height}$$ 5. Using the values, base = $|1 - 2| = 1$, height = $3$, so: $$A = \frac{1}{2} \times 1 \times 3 = \frac{3}{2} = 1.5$$ 6. Since $S_3 = 24$ is given, the problem might involve scaling or another operation. Possibly, the shape's area or sum is scaled by a factor to get 24. 7. To get 24 from 1.5, multiply by 16: $$1.5 \times 16 = 24$$ 8. Therefore, the answer was obtained by calculating the area or sum of the shape's values and then scaling by 16 to reach $S_3 = 24$. Final answer: The value $S_3 = 24$ is obtained by calculating the area or sum of the shape's values and multiplying by 16.