Calculating the perimeter of a rectangle is a fundamental concept in geometry. This guide will show you step-by-step how to find the perimeter of a rectangle given its length and width.
Step 1: Show the Perimeter Formula
The formula for the perimeter \(P\) of a rectangle is given by:
\[ P = 2 \cdot (L + W) \]
Step 2: Explain the Formula
In this formula:
- \(P\) represents the perimeter of the rectangle.
- \(L\) is the length of the rectangle.
- \(W\) is the width of the rectangle.
The perimeter of a rectangle is the total distance around the outside of the rectangle. Since a rectangle has two lengths and two widths, the formula multiplies the sum of the length and width by 2.
Step 3: Insert Numbers as an Example
Let's say we have a rectangle with:
- Length \(L = 8\) units
- Width \(W = 5\) units
Step 4: Calculate the Final Value
Substitute the values into the formula:
\[ P = 2 \cdot (L + W) \]
\[ P = 2 \cdot (8 + 5) \]
\[ P = 2 \cdot 13 \]
\[ P = 26 \]
So, the perimeter of the rectangle is 26 units.
Final Value
The perimeter of a rectangle with a length of 8 units and a width of 5 units is 26 units.
