Calculate the perimeter of the rectangle that has endpoints at the ordered pairs

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24 units

18 units

30 units

36 units

1 answer

To calculate the perimeter of a rectangle given its endpoints, we first need to identify the coordinates of the vertices. However, you mentioned "the ordered pairs" but did not provide actual coordinates.

Let's assume you were meant to provide two opposite corners of the rectangle, such as (x₁, y₁) and (x₂, y₂). Here’s how you can calculate the perimeter once you have the coordinates:

  1. Find the lengths of the sides:

    • Length of the rectangle (width) = |x₂ - x₁|
    • Height of the rectangle (length) = |y₂ - y₁|
  2. Calculate the perimeter: The formula for the perimeter \(P\) of a rectangle is: \[ P = 2 \times (\text{length} + \text{width}) \]

If you provide the specific coordinates of the endpoints of the rectangle, I can give you the exact perimeter. Alternatively, if you already have specific coordinates in mind, you can plug them into the formulas above to find the perimeter.