When finding the perimeter of a figure on a grid, why do you not count the spaces inside the grid?

they are part of the area, not the perimeter.

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When finding the perimeter of a figure on a grid, we do not count the spaces inside the grid because the perimeter represents the total length of the boundary of the figure, not the area it encloses.

To calculate the perimeter of a figure, we need to add up the lengths of all the sides that make up the boundary. Since the interior spaces of the grid are not part of the boundary, we exclude them from the calculation.

To calculate the perimeter, you can follow these steps:

1. Identify the figure on the grid.
2. Look for the sides that form the boundary of the figure.
3. Count the number of grid lines that make up the sides of the figure.
4. Add up the lengths of all the sides to find the total perimeter.

By excluding the interior spaces and focusing only on the boundary, we ensure that the perimeter value reflects the length of the figure's outer edges. This is important in applications such as construction, where knowing the boundary length helps determine the amount of material required or the length of a fence needed.