### 2D Shapes: Formula for Area and Perimeter

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**2D Shapes: What are they?**

Two-dimensional shapes, also known as 2D shapes, are geometric shapes that have two dimensions: length and width. Examples of 2D shapes include squares, rectangles, triangles, circles, and many more.

**Why are Area and Perimeter Important?**

The area and perimeter of a 2D shape are two fundamental properties that are used in various real-world applications, such as architecture, engineering, design, and more. Understanding how to calculate the area and perimeter of a shape is crucial in these fields.

**Formulas for Area and Perimeter of Common 2D Shapes**

### 1. Square

**Area:**`A = s^2`

(where`s`

is the side length)**Perimeter:**`P = 4s`

### 2. Rectangle

**Area:**`A = l × w`

(where`l`

is the length and`w`

is the width)**Perimeter:**`P = 2(l + w)`

### 3. Triangle

**Area:**`A = (b × h) / 2`

(where`b`

is the base and`h`

is the height)**Perimeter:**`P = a + b + c`

(where`a`

,`b`

, and`c`

are the sides)

### 4. Circle

**Area:**`A = πr^2`

(where`π`

is approximately 3.14 and`r`

is the radius)**Perimeter (Circumference):**`P = 2πr`

### 5. Rhombus

**Area:**`A = (d1 × d2) / 2`

(where`d1`

and`d2`

are the diagonals)**Perimeter:**`P = 4s`

(where`s`

is the side length)

### 6. Trapezium

**Area:**`A = (h × (a + b)) / 2`

(where`h`

is the height,`a`

and`b`

are the parallel sides)**Perimeter:**`P = a + b + c + d`

(where`a`

,`b`

,`c`

, and`d`

are the sides)

**Conclusion**

Understanding the formulas for area and perimeter of 2D shapes is essential in various mathematical and real-world applications. By memorizing these formulas, you can easily calculate the area and perimeter of different shapes and apply them to solve problems in various fields.