The image shows a geometric problem where the user needs to calculate the area of a polygon created by connecting the given points. The coordinates provided are:

• $A(-4, 8)$
• $B(6, 8)$
• $C(-1, 0)$
• $D(6, 0)$
• $E(6, -4)$
• $F(-4, -4)$

To find the area of the polygon, we can use the Shoelace Theorem (or Gauss's area formula) for calculating the area of a polygon when the coordinates of the vertices are given.

Steps:

1. List the coordinates of the vertices in order: $\text{Vertices: } A(-4, 8), B(6, 8), C(-1, 0), D(6, 0), E(6, -4), F(-4, -4)$
2. Apply the Shoelace Theorem: $\text{Area} = \frac{1}{2} \left| \sum_{i=1}^{n-1} (x_i y_{i+1} - y_i x_{i+1}) \right|$ Where $(x_1, y_1), (x_2, y_2), \dots$ are the coordinates of the vertices.

Let's calculate the area step by step.

Would you like the detailed calculations for this?