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Area Of A Square – Definition, Examples | EDU.COM

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Area Of A Square – Definition, Examples | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">Area of A SquareArea Of A Square – Definition, ExamplesTable of ContentsArea of a Square Definition of Area of a Square

The area of a square is the number of square units needed to fill a square completely. It represents the inner region or space occupied by this two-dimensional figure. The violet shaded space inside a square shows its area, which tells us how much space the square covers.

The formula to find the area of a square is side multiplied by side, written as Area=side×side\text{Area} = \text{side} \times \text{side}Area=side×side in square units. When we know the diagonal of a square instead of the side, we can use the formula Area=d22\text{Area} = \frac{d^2}{2}Area=2d2​ square units, where d is the length of the diagonal.

Examples of Area of a Square Example 1: Finding the Area of a Simple Square Problem:

Given that each side is 555 cm, find the area of a square.

square

Step-by-step solution:

Step 1, Remember the formula for area of a square: Area=side×side\text{Area} = \text{side} \times \text{side}Area=side×side

Step 2, Put the side length into our formula: Area=5 cm×5 cm\text{Area} = 5 \text{ cm} \times 5 \text{ cm}Area=5 cm×5 cm

Step 3, Multiply the numbers: Area=25 cm2\text{Area} = 25 \text{ cm}^2Area=25 cm2

Example 2: Calculating the Cost of Painting a Square Wall Problem:

The side of a square wall is 50 m50 \text{ m}50 m. What is the cost of painting it at the rate of Rs. 222 per sq. m?

square

Step-by-step solution:

Step 1, Find the area of the wall using the formula: Area=side×side\text{Area} = \text{side} \times \text{side}Area=side×side

Step 2, Put the side length into our formula: Area=50 m×50 m=2,500 sq. m\text{Area} = 50 \text{ m} \times 50 \text{ m} = 2,500 \text{ sq. m}Area=50 m×50 m=2,500 sq. m

Step 3, Calculate the cost by multiplying the area by the rate per square meter: Cost=Rate×Area=Rs. 2×2,500=Rs. 5,000\text{Cost} = \text{Rate} \times \text{Area} = \text{Rs. } 2 \times 2,500 = \text{Rs. } 5,000Cost=Rate×Area=Rs. 2×2,500=Rs. 5,000

Example 3: Finding Area Using the Diagonal Problem:

Find the area of a square whose diagonal is measured as 4 cm4 \text{ cm}4 cm.

square

Step-by-step solution:

Step 1, When we know the diagonal instead of the side, we use this formula: Area=d22\text{Area} = \frac{d^2}{2}Area=2d2​ square units

Step 2, Put the diagonal value into our formula: Area=422=162=8 cm2\text{Area} = \frac{4^2}{2} = \frac{16}{2} = 8 \text{ cm}^2Area=242​=216​=8 cm2

Step 3, So the area of the square with diagonal 4 cm4 \text{ cm}4 cm is 8 square centimeters.

Comments(7)GGymnastUlyssesNovember 6, 2025I've used this page to teach area of a square. The examples are great, especially the practical ones. It really helped my students understand!

PPoetDavidNovember 5, 2025I've used this to teach my students the area of a square. The examples are great, making it easy for them to grasp. Thanks!

NNatureLover85September 16, 2025I used the Area of A Square examples to help my kids understand how math applies to real life, like calculating paint for their room. The step-by-step solutions made it super easy for them to follow!

NNatureLover85September 10, 2025I used the Area Of A Square explanation to help my kids with their math homework—it broke things down so clearly! The practical examples, like painting walls, really made the concept click for them.

MCMs. CarterAugust 27, 2025I used the area of a square examples to help my kids understand geometry in a real-world way—like estimating paint for their room walls. It’s super clear and practical!

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