Geometry

Question Analysis

The main focus is to determine the lengths of all sides of the quadrilateral and then sum them to find the perimeter. We'll use the distance formula for non - horizontal/vertical sides and simple coordinate differences for horizontal/vertical sides.

 

Key Concept Explanation

For two points and , the distance formula is . For horizontal sides, the length is , and for vertical sides, it's . The perimeter of a quadrilateral is the sum of the lengths of its four sides.

 

Step - by - Step Solution

1. Length of :

, are on a horizontal line.

Using the formula for horizontal side length, .

2. Length of :

, are on a vertical line.

Using the formula for vertical side length, .

3. Length of

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