The four corners of a rectangular city block are located at (-5, -2).(-5,9). (9,9). and (9,-2) on the coordinate grid below. 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? Type the answer in the box below.

 To determine how far Randy walks, we have to calculate the perimeter of the rectangular block. The perimeter of a rectangle is the sum of all four sides. The coordinates given are the vertices of the rectangle. Let's calculate the lengths of two adjacent sides and then double them since opposite sides of a rectangle are equal in length.

The horizontal distance between (-5, -2) and (9, -2) can be found by subtracting the x-coordinates, ignoring the signs as we are looking for a positive distance. So we do 9 - (-5) = 9 + 5 = 14 units.

The vertical distance between (-5, -2) and (-5, 9) is found by subtracting the y-coordinates. So we do 9 - (-2) = 9 + 2 = 11 units.

The perimeter is the sum of all four sides, so we calculate 2 times the sum of one horizontal and one vertical side because a rectangle has two sides of each length.

Perimeter = 2 * (horizontal side + vertical side) = 2 * (14 units + 11 units) = 2 * 25 units = 50 units

Since each unit represents 10 meters, Randy walks 50 units * 10 meters/unit which equals:

Total distance = 50 units * 10 meters/unit = 500 meters

So, Randy walks 500 meters around the block.

Extra: The coordinate grid consists of a horizontal x-axis and a vertical y-axis. The points on the grid are described by coordinates (x, y), where 'x' represents the horizontal position and 'y' represents the vertical position relative to the origin (0,0).

The distance between two points on the grid along the same axis can be found by subtracting the corresponding coordinates. Remember to use the absolute value if you're interested in the positive distance since direction does not matter when calculating length.

When we talk about the perimeter of a rectangle, we're referring to the total length around the rectangle. A rectangle has two pairs of equal sides. Opposite sides have the same length, meaning if one horizontal side of the rectangle is 14 units long, the other horizontal side is also 14 units long. The same goes for the vertical sides. To find the perimeter, we add together the lengths of all sides. If we know the length of one horizontal and one vertical side, we can double the sum to get the perimeter (since there's another pair of horizontal and vertical sides).

Thus, the problem involves using coordinate geometry to determine lengths of sides, and basic arithmetic operations (addition, subtraction, multiplication) to calculate the total walking distance.