Area of Parallelogram Formula

This figure illustrates the area of circle formula.

Formula

Summary

The area of a parallelogram is given by the width multiplied by the height.

Expression Description
The area of the parallelogram.
The width length.
The height length.

Usage

The area of any parallelogram is given by to the base multiplied by the height.

Examples

Example 1

Area of Parallelogram Base 6 Height 4

This example shows how to calculate the area of a parallelogram with a base length of and a height of .

  1. Start by setting up the formula.

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

  3. Evaluate the multiplication.

    The area of the parallelogram is equal to units squared.

Example 2

Area of Parallelogram Base 5 Height 4

This example shows how to calculate the area of a parallelogram with a base length of and a height of .

  1. Start by setting up the formula.

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

  3. Evaluate the multiplication.

    The area of the parallelogram is equal to units squared.

Example 3

Area of Parallelogram Base 2 Height 5

This example shows how to calculate the area of a parallelogram with a base length of and a height of .

  1. Start by setting up the formula.

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

  3. Evaluate the multiplication.

    The area of the parallelogram is equal to units squared.

Explanation

This formula can be derived using geometry and the area of a rectangle[1].

References

  1. Derive Area of Parallelogram Formula
    Wumbo (internal)