Question

what is the perimeter of S(0,4), N(3,4), O(-3,4), W(-3,4)

Answers

GPT-4o mini
The coordinates you provided seem to represent points that may actually be describing a shape. However, the points S(0,4) and N(3,4) are the same as the points W(-3,4) and O(-3,4) in that they all have the same y-coordinate of 4, which means they are all along the same horizontal line (y = 4) at different x-coordinates.

Given the points:
- S(0, 4)
- N(3, 4)
- O(-3, 4)
- W(-3, 4)

However, points O and W are redundant since both are the same (-3, 4).

If we're trying to find the perimeter of a rectangle or similar shape, it's necessary to determine if these points form one. In context, assuming N and S are endpoints along with O and W representing the left side possibly at the same height, but we need distinct vertices.

These points may not form a closed shape as currently described.

However, if we interpret S, N, O, and W to define two positions along the x-axis at y=4, we'd have an interval. To get the perimeter, we'll need both y-coordinates and use the pairs as extremes:

If we treat NS as horizontal top or bottom edges:
1. Length from N(3, 4) to S(0, 4) = 3 - 0 = 3 units.
2. Length from S(0, 4) to W(-3, 4) would be similar.

But no vertical distances are described.

Thus updating assumptions, it seems you may wish to define a rectangle or similar based e.g.:

\( \text{Width} = |3 - (-3)| = 6 \) (from N to O)
\( \text{Height} = |4 - 0| = 4 \) (assumed vertical height, if stated.)

Then the perimeter \( P = 2(\text{width} + \text{height}) = 2(6 + 0) = 12 \) (where no height defined = 0).

Please clarify the intended shape and coordinates accurately to provide further accurate perimeter assessments!

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