How To Calculate The Area Of A Square When The Length Of Side \( A \) Is Given

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Introduction

Calculating the area of a square is a fundamental skill in geometry and is used in various real-world scenarios. When you know the length of one side \( a \), finding the area of the square becomes a straightforward process. In this guide, we'll explore the formula to calculate the area of a square and provide step-by-step instructions to help you solve for the area.


Understanding the Square

A square is a four-sided polygon with all sides of equal length and all angles measuring 90 degrees.


The Formula for the Area of a Square

The area \( A \) of a square can be found using the formula:


\[ A = a^2 \]


Where:

- \( a \) is the length of one side of the square.


Explaining the Formula

The area formula for a square involves squaring the length of one side. This is because all four sides of a square are equal in length, so the area is simply the side length multiplied by itself.


Step-by-Step Calculation

Let's work through an example to illustrate the process.


Example:

Suppose we have a square with a side length \( a = 5 \) units. We want to find the area of the square.


Step 1: Identify the Given Value

Given:

- Side length \( a = 5 \) units


Step 2: Use the Formula to Find the Area

Using the formula \( A = a^2 \), substitute the given value:


\[ A = 5^2 \]


Step 3: Perform the Calculation

Now, calculate the area:


\[ A = 25 \]


Final Value

For a square with a side length \( a = 5 \) units, the area is \( 25 \) square units.

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