## Area of 2D Shapes: Formula Sheet

This document provides a comprehensive list of formulas for calculating the areas of common two-dimensional (2D) shapes.

**1. Rectangle**

**Formula:**
Area = **length × width**

**Where:**

**length:**The longer side of the rectangle.**width:**The shorter side of the rectangle.

**Example:**
A rectangle with a length of 5 cm and a width of 3 cm has an area of 5 cm × 3 cm = 15 cm².

**2. Square**

**Formula:**
Area = **side²**

**Where:**

**side:**The length of any side of the square.

**Example:**
A square with a side length of 4 cm has an area of 4 cm × 4 cm = 16 cm².

**3. Triangle**

**Formula:**
Area = **(1/2) × base × height**

**Where:**

**base:**The length of the side of the triangle that forms the bottom of the figure.**height:**The perpendicular distance from the base to the opposite vertex.

**Example:**
A triangle with a base of 6 cm and a height of 4 cm has an area of (1/2) × 6 cm × 4 cm = 12 cm².

**4. Circle**

**Formula:**
Area = **π × radius²**

**Where:**

**π (pi):**A mathematical constant approximately equal to 3.14159.**radius:**The distance from the center of the circle to any point on its circumference.

**Example:**
A circle with a radius of 5 cm has an area of π × 5 cm × 5 cm ≈ 78.54 cm².

**5. Parallelogram**

**Formula:**
Area = **base × height**

**Where:**

**base:**The length of any side of the parallelogram.**height:**The perpendicular distance between the base and the opposite side.

**Example:**
A parallelogram with a base of 8 cm and a height of 3 cm has an area of 8 cm × 3 cm = 24 cm².

**6. Trapezoid**

**Formula:**
Area = **(1/2) × (base1 + base2) × height**

**Where:**

**base1 and base2:**The lengths of the two parallel sides of the trapezoid.**height:**The perpendicular distance between the two bases.

**Example:**
A trapezoid with base1 = 6 cm, base2 = 4 cm, and height = 3 cm has an area of (1/2) × (6 cm + 4 cm) × 3 cm = 15 cm².

**7. Rhombus**

**Formula:**
Area = **(1/2) × diagonal1 × diagonal2**

**Where:**

**diagonal1 and diagonal2:**The lengths of the two diagonals of the rhombus.

**Example:**
A rhombus with diagonal1 = 8 cm and diagonal2 = 6 cm has an area of (1/2) × 8 cm × 6 cm = 24 cm².

This formula sheet is a helpful resource for students and professionals who need to calculate the areas of 2D shapes. By understanding these formulas, you can confidently solve a wide range of area problems.