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Interactive Geometry Dictionary
How Do You Find the Area of a Parallelogram?

In a parallelogram, opposite sides are parallel and have the same length. This applet will show you how to find the area of a parallelogram if you already know how to find the area of a rectangle. You can cut up the parallelogram into pieces, put them together to find a rectangle, and then use the formula for the area of a rectangle.

Drag vertex A of the parallelogram to change it to a rectangle. What is the area of the rectangle that you get? What measurements of the parallelogram do you need in order to find its area?

You can drag vertex C to change the size and shape of the parallelogram. Click the boxes to show a rectangle that can be made from the parallelogram, show the dimensions of the parallelogram, or to start over. Do all the parallelograms have the same area?

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Answer:

By dragging point A to the location of point D, you can change the parallelogram into a rectangle with the same base and height as the parallelogram. The area of the rectangle is the base of the parallelogram times its height. Thus, you just need to measure the base and height of a parallelogram to be able to compute its area.

 
Area of a parallelogram = base times height

Use what you know about the area of a parallelogram to find the area of a triangle.



Back to Overview of Area

References and Credits



National Council of Teachers of Mathematics Illuminating a New Vision for School Mathematics MarcoPolo Education Foundation
Illuminations is a partnership between the National Council of Teachers of Mathematics and the MarcoPolo Education Foundation

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This page last updated: August 7, 2003


The mission of the National Council of Teachers of Mathematics is to provide the vision and leadership necessary to ensure a mathematics education of the highest quality for all students. The NCTM Illuminations Web site is devoted to providing Internet resources to improve the teaching and learning of mathematics in grades pre-K through 12. The views expressed or implied on this Web site, unless otherwise noted, should not be interpreted as official positions of the Council.