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 there he started each unit on the grid represents 10 meters how many meters does Randy walk

Answer 1

To determine how many meters Randy walks around the rectangular city block, we first need to calculate the perimeter of the rectangle formed by the coordinates of the corners.

The corners of the rectangle are:

• A = (-5, -2)
• B = (-5, 9)
• C = (9, 9)
• D = (9, -2)

Next, we can find the lengths of the sides of the rectangle.

1. Length of side AB (vertical side):

   • The y-coordinates of points A and B are -2 and 9 respectively.
   • Length AB = |9 - (-2)| = |9 + 2| = 11 units.

2. Length of side BC (horizontal side):

   • The x-coordinates of points B and C are -5 and 9 respectively.
   • Length BC = |9 - (-5)| = |9 + 5| = 14 units.

3. Length of side CD (vertical side):

   • The y-coordinates of points C and D are both at 9 and -2 respectively, so:
   • Length CD = |9 - (-2)| = |9 + 2| = 11 units (same as AB).

4. Length of side DA (horizontal side):

   • The x-coordinates of points D and A are both at 9 and -5 respectively, so:
   • Length DA = |9 - (-5)| = |9 + 5| = 14 units (same as BC).

Now we can calculate the perimeter of the rectangular block:

• Perimeter = 2 * (Length AB + Length BC)
• Perimeter = 2 * (11 + 14) = 2 * 25 = 50 units.

Since each unit on the grid represents 10 meters, we need to convert the perimeter into meters:

• Distance walked in meters = Perimeter in units * 10 meters/unit
• Distance walked in meters = 50 units * 10 meters/unit = 500 meters.

Therefore, Randy walks 500 meters.

Answer 2

U sure

Answer 3

Let's double-check the calculations to ensure everything is accurate.

We have the corners of the rectangle:

• A = (-5, -2)
• B = (-5, 9)
• C = (9, 9)
• D = (9, -2)

Step 1: Determine the lengths of the sides of the rectangle.

1. Length of side AB (vertical side):

   • From A (-5, -2) to B (-5, 9):
   • Length AB = |y2 - y1| = |9 - (-2)| = |9 + 2| = 11 units.

2. Length of side BC (horizontal side):

   • From B (-5, 9) to C (9, 9):
   • Length BC = |x2 - x1| = |9 - (-5)| = |9 + 5| = 14 units.

3. Length of side CD (vertical side):

   • From C (9, 9) to D (9, -2):
   • Length CD = |y2 - y1| = |9 - (-2)| = |9 + 2| = 11 units (same as AB).

4. Length of side DA (horizontal side):

   • From D (9, -2) to A (-5, -2):
   • Length DA = |x2 - x1| = |9 - (-5)| = |9 + 5| = 14 units (same as BC).

So we have:

• Length AB = 11 units
• Length BC = 14 units
• Length CD = 11 units
• Length DA = 14 units

Step 2: Calculate the perimeter.

• Perimeter = 2 * (Length AB + Length BC)
• Perimeter = 2 * (11 + 14) = 2 * 25 = 50 units.

Step 3: Convert units to meters. Each unit represents 10 meters, so:

• Distance in meters = Perimeter in units x 10 meters/unit
• Distance = 50 units * 10 meters/unit = 500 meters.

Thus, Randy walks 500 meters around the city block.

So yes, the answer is indeed correct, Randy walks 500 meters.