## Areas of 2D Shapes Formulas

In geometry, the **area** of a two-dimensional shape is the amount of space it occupies. It's measured in square units, like square centimeters (cm²) or square inches (in²). Here are the formulas for calculating the areas of some common 2D shapes:

### 1. **Square**

**Formula:**Area = side * side**Example:**If a square has a side length of 5 cm, its area is 5 cm * 5 cm = 25 cm².

### 2. **Rectangle**

**Formula:**Area = length * width**Example:**If a rectangle has a length of 8 cm and a width of 3 cm, its area is 8 cm * 3 cm = 24 cm².

### 3. **Triangle**

**Formula:**Area = (1/2) * base * height**Example:**If a triangle has a base of 6 cm and a height of 4 cm, its area is (1/2) * 6 cm * 4 cm = 12 cm².

### 4. **Circle**

**Formula:**Area = π * radius²**Example:**If a circle has a radius of 7 cm (π ≈ 3.14), its area is 3.14 * 7 cm * 7 cm ≈ 153.86 cm².

### 5. **Parallelogram**

**Formula:**Area = base * height**Example:**If a parallelogram has a base of 10 cm and a height of 5 cm, its area is 10 cm * 5 cm = 50 cm².

### 6. **Trapezoid**

**Formula:**Area = (1/2) * (base1 + base2) * height**Example:**If a trapezoid has bases of 8 cm and 12 cm, and a height of 6 cm, its area is (1/2) * (8 cm + 12 cm) * 6 cm = 60 cm².

### 7. **Rhombus**

**Formula:**Area = (1/2) * diagonal1 * diagonal2**Example:**If a rhombus has diagonals of 6 cm and 8 cm, its area is (1/2) * 6 cm * 8 cm = 24 cm².

Remember:

**Height**refers to the perpendicular distance between the base and the opposite side.**Diagonal**refers to a line segment connecting two opposite vertices.**π (pi)**is a mathematical constant approximately equal to 3.14.

These formulas are essential for solving problems in geometry and other fields that involve two-dimensional shapes.