Geometry

Question Analysis

The main focus is determining the lengths of the sides of the rectangle (since the figure is a rectangle ) and then using the formula for the perimeter of a rectangle to find the total length around the shape.

Key Concept Explanation

For a rectangle, opposite sides are equal. For horizontal sides, the length can be found by calculating the difference in - coordinates of the endpoints. For vertical sides,  the length can be found by calculating the difference in - coordinates of the endpoints.

The perimeter formula for a rectangle is , where is the length and is the width.

Step-by-Step Solution

1. Find the length of the horizontal sides:

Consider the points and (vertical side). The length . Since is opposite to , too.

2. Find the length of the vertical sides:

Consider the points and

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