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. The distance between two points and can be found using the distance formula , but in the case of horizontal or vertical sides, we can simply find the difference in - coordinates (for horizontal sides) or - coordinates (for vertical sides).

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 (horizontal side). The length . Since is opposite to ,

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