# Area of Trapezoid Formula ## Formula

### Summary

The area of a trapezoid is given by the sum of its base and top length multiplied by its height.

Expression Description
The area of the trapezoid.
The length of the top of the trapezoid.
The length of the base of the trapezoid.
The height of the trapezoid

## Usage

The area of a trapezoid is given by its height multiplied by the sum of its top length and bottom length divided by two.

## Examples

### Example 1 This example demonstrates how to find the area of a trapezoid with a top of 3 a base of 5 and a height of 2.

#### Steps

1. Start by setting up the formula.

2. Substitute the values for the top, base and height into the formula.

4. Simplify by performing multiplication then division or using another way.

5. The area of the trapezoid is equal to units squared.

### Example 2 This example demonstrates how to find the area of a of trapezoid top 5 base 8 height 4.

#### Steps

1. Start by setting up the formula.

2. Substitute the values for the top, base and height into the formula.

4. Simplify the numerator and denominator.

5. The area of the trapezoid is equal to units squared.

### Example 3 This example demonstrates how to find the area of a of trapezoid top 4 base 7 height 3.

#### Steps

1. Start by setting up the formula.

2. Substitute the values for the top, base and height into the formula.