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Formula to calculate the area of ​​a square, calculate the perimeter of a square

The formula for calculating the area of ​​a square and the formula for calculating the perimeter of a square are extremely important and must be used often in the learning process and in real life. The article below will introduce to you the formula for calculating the area and perimeter of a square, please refer to it.

1. Formula to calculate the area of ​​a square

Square area measured by the size of the surface of the shape, which is the visible plane part of the square. To calculate the area of ​​a square, you need to know the side length of the square.

Square area

The area of ​​a square is equal to the square of the length of the side of the square.

Formula to calculate the area of ​​a square

In there:

  • S is the area of ​​the square.
  • a is the length of the sides of the square.
  • Note: The area measurement unit will be written as a power of 2 (2), read as “unit name + square“. For example: m2 (square meter), cm2 (square centimeter)…

For example: To calculate the area of ​​a square with sides of 6cm, take 6×6 = 36cm2

Some other simple ways to calculate the area of ​​a square

  • The area of ​​a square is equal to the sum of the areas of 2 isosceles right triangles.

S_{ABCD}=\frac{1}{2}\times a^2+\frac{1}{2}\times a^2

  • The area of ​​a square is equal to the sum of the areas of 2 rectangles.

S_{ABCD}=S_{ADFE}+S_{EFCB}

The area of ​​a square is equal to the sum of the areas of 2 rectangles

2. Formula to calculate the perimeter of a square

Square perimeter is the total length of the lines surrounding the figure, which is also the line surrounding the entire area. To calculate the perimeter of a square, you need to know the side length of the square.

3. What is a square?

Square is a regular quadrilateral, with 4 equal sides and 4 equal angles. A square has 4 right angles, a perpendicular diagonal at the midpoint and 2 pairs of opposite sides parallel to each other.

A square can be considered a rectangle with equal sides, or a rhombus with two equal diagonals.

4. Example of calculating the area and perimeter of a square

Lesson 1:

Square ABCD has sides of 4 cm. Calculate the area of ​​square ABCD?

Prize:

To calculate the area of ​​square ABCD, we can use the formula: S = axa, where a is the side length of the square.

For square ABCD, a = 4 cm. Therefore, the area of ​​square ABCD is:

S = axa = 4×4 = 16 cm2.

The final answer is: 16 cm2.

Lesson 2:

Let square ABCD have a perimeter of 28cm. Calculate the area of ​​square ABCD.

Prize:

P = 4 far => The side length of square ABCD is: a = 28 : 4 = 7 cm

The area of ​​square ABCD is: S = 7 x 7 = 49 cm²

Lesson 3:

If a square piece of land is extended to one side by 5cm, we get a rectangular perimeter of 110cm. Calculate the area of ​​land after expansion.

Prize:

The perimeter of the square's land is: 110 – 5 x 2 = 100 cm

The side of the square piece of land (also the width of the rectangle) is: 100 : 4 = 25 cm

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The length of the rectangular piece of land is: 25 + 5 = 30 cm

After expansion, the area of ​​land is 25 x 30 = 750cm2

Above are the most basic formulas for calculating the area and perimeter of a square. You can apply it to solve common geometric problems as well as create algorithms for your programming exercises.

It can be affirmed that a square is one of the shapes with the easiest to remember formula for calculating area and perimeter among all shapes. You can also easily apply the formula for calculating the area of ​​a rectangle to a square. This is basic knowledge that needs to be mastered. You can apply this knowledge throughout your cultural studies and in future algorithms learning programs.

Hope the article is useful to you!

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