Let's solve the problem using the image provided. Rectangle ABCD is shown on a coordinate plane.

Step 1: Identify the coordinates of the vertices

The vertices of rectangle ABCD are as follows:

• $A(-6, 6)$
• $B(-4, 6)$
• $C(-4, -6)$
• $D(-6, -6)$

Step 2: Calculate the length of the sides

The length of the rectangle's sides can be calculated using the coordinates:

• Vertical sides (AB or CD): The y-coordinates differ while the x-coordinates remain the same. $\text{Length of AB} = |6 - (-6)| = 12 \text{ units.}$

• Horizontal sides (BC or AD): The x-coordinates differ while the y-coordinates remain the same. $\text{Length of BC} = |-4 - (-6)| = 2 \text{ units.}$

Step 3: Calculate the perimeter

The perimeter of a rectangle is given by: $P = 2(\text{Length} + \text{Width})$ Substitute the values: $P = 2(12 + 2) = 2 \cdot 14 = 28 \text{ units.}$

Final Answer:

The perimeter of rectangle ABCD is 28 units.

Would you like further clarification or details? Here are some related questions to explore:

1. What is the area of rectangle ABCD?
2. How would the perimeter change if rectangle ABCD was moved 2 units to the right?
3. What are the coordinates of the center of rectangle ABCD?
4. How can the formula for distance between points be applied to verify the side lengths?
5. What is the perimeter of rectangle EFGH in the same diagram?

Tip: Always double-check coordinates and measurements when solving geometry problems on a grid.