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The problem involves calculating the total distance Randy walks around a rectangular city block. The four corners of the block are given as:
- \( (-5, -2) \)
- \( (-5, 9) \)
- \( (9, 9) \)
- \( (9, -2) \)

We need to determine the perimeter of this rectangle, as Randy walks around its boundary.

### Step 1: Calculate the length of the sides
- **Vertical side length:** The distance between points \( (-5, -2) \) and \( (-5, 9) \) is the difference in the \(y\)-coordinates: 
  \[
  9 - (-2) = 9 + 2 = 11
  \]
- **Horizontal side length:** The distance between points \( (-5, -2) \) and \( (9, -2) \) is the difference in the \(x\)-coordinates:
  \[
  9 - (-5) = 9 + 5 = 14
  \]

### Step 2: Calculate the perimeter
The perimeter \(P\) of a rectangle is given by:
\[
P = 2 \times (\text{length} + \text{width}) = 2 \times (14 + 11) = 2 \times 25 = 50 \text{ units}
\]

### Step 3: Convert to meters
Each unit on the grid represents 10 meters. Therefore, the total distance Randy walks is:
\[
50 \times 10 = 500 \text{ meters}
\]

Thus, Randy walks **500 meters**.

Would you like more details or have any questions?

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Here are five questions for further exploration:
1. How would the perimeter change if the rectangle's dimensions doubled?
2. Can you calculate the area of the rectangular city block?
3. What if Randy took a diagonal shortcut across the block—what distance would he cover?
4. How would you find the perimeter if the block were an irregular quadrilateral?
5. What mathematical formula would apply if the block were circular?

**Tip:** When solving problems involving distance on coordinate grids, focus on differences between coordinates for straight-line segments.

The four corners of a rectangular city block are located at (-5, -2), (-5, 9), (9, 9), and (9, -2) on the coordinate grid. Randy walks all the way around the block and stops when he gets back to where he started. Each unit on the grid represents 10 meters. How many meters does Randy walk?

Learn how to calculate the perimeter of a rectangular city block with corners located at (-5, -2), (-5, 9), (9, 9), and (9, -2) on a coordinate grid. Randy walks around the block, and the total distance he covers is calculated step by step using coordinate geometry. Each unit on the grid represents 10 meters.

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