Formula for calculating the area of a Square

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Content

1. Square, properties, and identification signs

2. Formula for calculating the area of a square

3. Extended Formula

4. Illustrative Example.

5. Notes when calculating the area of a square

Update with Mytour the formula for calculating the area of a square in the article below to supplement knowledge and apply flexibly in exercises related to squares. Parents should also refer to guide their children in exercises and study more effectively.

The square is one of the geometric shapes with the simplest and easiest area calculation formula of all shapes. You can entirely apply the rectangle area calculation formula to calculate the area of a square. The article below will introduce the formula for calculating the area of a square with illustrative examples. If you want to refer to the formula for calculating the perimeter of a square, see the article here.

See more: Formula for calculating the perimeter of a square

Method for calculating the area of a square

1. Square, properties, and identification signs

A square is a shape with four equal sides and four equal angles. The square embodies all the properties of a rectangle, diamond, and trapezoid. The angles of the square are equal and right angles, the diagonals are equal and perpendicular at the midpoint of each line, and two pairs of opposite sides are parallel to each other. Learn more on Wikipedia article about the square to gain a deeper understanding of this shape.

Properties of the square: Include all the properties of a diamond and a rectangle.

Recognition signs:

- A rectangle has two adjacent sides equal
- A rectangle has two diagonals perpendicular to each other

- A diamond has two equal diagonals
- A diamond has one right angle
- A rectangle has one diagonal as the bisector

2. Formula for calculating the area of a square

The formula for calculating the area of a square is the product of the two sides of the square. For the square ABCD as shown above, we will have the following formula:

Area_ABCD = AB x BC = a x a = a²

3. Extended Formula

- Perimeter of the square: C = 4a
- Calculate the side of the square, given the area a = √S
- Calculate the diagonal of the square, given the area d = 2√S

4. Illustrative Example.

Exercise 1: Consider the square ABCD shown above with a side length a = 5 cm.

Solution:

Applying the formula for calculating the area of a square, we get

So, the area of the square ABCD is 25cm².

Exercise 2: Given a square with an area of 49cm². Determine the length of each side of the square.

Solution

Applying the formula for calculating the area of a square, S = a x a => a = 7cm.
Answer: 7cm.

5. Notes when calculating the area of a square

To correctly apply the formula for calculating the area of a square and solve exercises accurately for high scores, pay attention to the following:
- The quantities in the problem must have the same units. Some challenging exercises may present different units; convert them to the same unit before proceeding with the solution.
- The unit of area is measured in m², cm². ,,,

Here is a detailed guide on the formula for calculating the area of a square with illustrative examples. We hope that with this article, you, the students, will understand and easily memorize the formula for calculating the area of a square. Best of luck to all of you.

A rhombus is a quadrilateral with all the properties of a parallelogram, featuring two equal angles and two diagonals perpendicular to each other at the midpoint of each line. You can also refer to the formula for calculating the area of a rhombus shared on Mytour for more information.

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Frequently Asked Questions

What is the formula for calculating the area of a square?

The formula for calculating the area of a square is simply the product of its two sides. For a square with side length 'a', the area is calculated as Area = a x a = a².

How can I determine the side length of a square given its area?

To find the side length of a square when you know its area, you can use the formula a = √S, where 'S' is the area. For example, if the area is 49 cm², the side length will be 7 cm.

What properties define a square in geometry?

A square has four equal sides and four right angles. It also exhibits all properties of rectangles and diamonds, with equal diagonals that bisect each other perpendicularly at the midpoint.

Why is it important to use the same units when calculating the area of a square?

Using the same units when calculating the area is crucial to ensure accuracy in your results. Different units can lead to incorrect calculations, so always convert them to the same unit before proceeding.

What is the formula for calculating the perimeter of a square?

The formula for calculating the perimeter of a square is C = 4a, where 'a' is the length of one side. This formula allows you to find the total distance around the square.