To find the area of square $ABCD$ from the given graph, let's proceed step by step.

1. Identify the coordinates of the vertices:

• $A(10, 10)$
• $B(10, -10)$
• $C(-10, -10)$
• $D(-10, 10)$

2. Calculate the side length of the square:

The side of the square can be measured as the distance between two adjacent vertices, say $A(10, 10)$ and $D(-10, 10)$.
Since these points lie on the same horizontal line ($y = 10$), the side length is the difference in their $x$-coordinates:

$\text{Side length} = |10 - (-10)| = |10 + 10| = 20$

3. Compute the area of the square:

The formula for the area of a square is:

$\text{Area} = (\text{side length})^2$

$\text{Area} = 20^2 = 400 \, \text{square units}$

Final Answer:

$\boxed{400} \, \text{square units}$

Would you like more details or have further questions?

Here are some related questions to consider:

1. How do you find the distance between two points in 2D space?
2. What is the general formula for the perimeter of a square?
3. How does the area change if the side length of a square doubles?
4. Can a square be oriented differently in the plane and still have the same area?
5. How do you calculate the area of other shapes (like rectangles or triangles) given vertices?

Tip: When working with graphs, always double-check the scales on both axes to avoid mistakes in measurement.