Questions: The Perimeter of a Rectangle Find a completely simplified expression for the perimeter (2 * length + 2 * width) of the blue rectangle.

Transcript text: The Perimeter of a Rectangle Find a completely simplified expression for the perimeter $(2 \cdot$ length +2 . width $)$ of the blue rectangle:

Solution

Solution Steps

To find the perimeter of a rectangle, we use the formula: Perimeter = 2 * (length + width). This formula accounts for the sum of all sides of the rectangle. We will define variables for length and width, and then use this formula to calculate the perimeter.

Step 1: Understand the Problem

The problem asks us to find the perimeter of a rectangle given its length and width. The formula for the perimeter $ P $ of a rectangle is given by: \[ P = 2 \times (\text{length} + \text{width}) \]

Step 2: Substitute the Given Values

We are given the length $ \text{length} = 5 $ and the width $ \text{width} = 3 $. Substituting these values into the formula, we have: \[ P = 2 \times (5 + 3) \]

Step 3: Simplify the Expression

First, calculate the sum inside the parentheses: \[ 5 + 3 = 8 \]

Then, multiply by 2: \[ P = 2 \times 8 = 16 \]