*Yuanxin (Amy) Yang Alcocer*Show bio

Amy has a master's degree in secondary education and has been teaching math for over 9 years. Amy has worked with students at all levels from those with special needs to those that are gifted.

Lesson Transcript

Instructor:
*Yuanxin (Amy) Yang Alcocer*
Show bio

Amy has a master's degree in secondary education and has been teaching math for over 9 years. Amy has worked with students at all levels from those with special needs to those that are gifted.

Measuring the area of a parallelogram involves labelling the base and height measurements and using a formula. Understand the information needed to use the formula, learn why it's important to label measurements, and see the steps to solve for the area through a detailed example.
Updated: 09/28/2021

A **parallelogram** is a four-sided flat shape with two pairs of equal parallel sides. This is to say that the opposite sides of a parallelogram are both equal to each other and parallel. The two pairs of opposite sides do not necessarily have to be the same length. You can have two different lengths for the two pairs.

A good way to picture a parallelogram is to picture a leaning box. If you take a moving box and punch out the ends, lean it against a wall, and then look at the opening, you would be looking at a parallelogram. It's a leaning rectangle!

An error occurred trying to load this video.

Try refreshing the page, or contact customer support.

Are you a student or a teacher?

Create Your Account To Continue Watching

As a member, you'll also get unlimited access to over 84,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Get unlimited access to over 84,000 lessons.

Try it nowOver 30,000 video lessons
& teaching resources‐all
in one place.

Video lessons

Quizzes & Worksheets

Classroom Integration

Lesson Plans

I would definitely recommend Study.com to my colleagues. Itâ€™s like

**a teacher waved a magic wand and did the work for me.** I feel like itâ€™s a lifeline.

Jennifer B.

Teacher

Back

Replay

Your next lesson will play in
10 seconds

In order to find the area of a parallelogram, we need to label our measurements. There are only two measurements that we need to be concerned about. If our parallelogram is sitting on a flat surface, the first measurement we need is the length of the bottom side. This we can label with a *b* for base. We call this the base because it is the bottom of the parallelogram.

The next measurement we need is the height of the parallelogram. This is the straight up and down measurement from the bottom to the top. We can label this measurement *h* for height. Note that this is not how long the leaning sides are, but the distance between the bottom side and the top side.

The formula to find the area of a parallelogram is this one:

Area = *b* * *h*.

Do your best to memorize this formula for the area of a parallelogram. With your parallelogram sitting flat, remember that to find the area, all you need is to multiply the length of the flat sides with how tall the parallelogram is. Only two numbers to worry about.

Let's see how this formula works with an example.

We have a parallelogram here:

I see that it's sitting flat. I also see that the flat sides measure 6 inches, the leaning sides measure 4 inches, and it has a height of 3 inches.

I remember that the only two measurements I need to worry about are the length of the flat sides and the height. This problem gives me more information than I need. So, what do I do with the extra information? I am going to just leave it be. I don't need to use it, so I can essentially ignore it. I am only going to focus on the numbers that I need, which are the base at 6 inches and the height at 3 inches.

Now, I can take my formula and plug in my values.

Area = *b* * *h*

Area = 6 inches * 3 inches

Area = 18 inches2

The calculation is straightforward after I plug in my values. The formula tells me to multiply the two numbers, which I have done. So, my answer is 18 inches2. I also remember that for area, my answer should always end with my measuring units2. My answer does end with my measuring units2, so I am done.

What have we learned? We have learned that a **parallelogram** is a four-sided flat shape with two pairs of equal parallel sides. It looks like a leaning rectangle. The formula to find the area of a parallelogram is:

Area = *b* * *h*.

With the parallelogram sitting flat, the *b* stands for the base, or the side that is flat on the ground, and the *h* stands for height, or the distance between the bottom and top sides. Once we have these two measurements, we can disregard any extra information that we may be given. The formula tells us to simply multiply the base with the height to get our answer. And remember, the area always ends with your measuring units2.

After completing this lesson, you should be able to:

- Define parallelogram
- Identify the formula and measurements needed to find the area of a parallelogram

To unlock this lesson you must be a Study.com Member.

Create your account

Are you a student or a teacher?

Already a member? Log In

BackOver 30,000 video lessons
& teaching resources‐all
in one place.

Video lessons

Quizzes & Worksheets

Classroom Integration

Lesson Plans

I would definitely recommend Study.com to my colleagues. Itâ€™s like

**a teacher waved a magic wand and did the work for me.** I feel like itâ€™s a lifeline.

Jennifer B.

Teacher

Back

Related Study Materials

- High School Trigonometry: Help and Review
- High School Trigonometry: Homework Help Resource
- High School Geometry: Tutoring Solution
- High School Trigonometry: Tutoring Solution
- High School Algebra I: Help and Review
- NY Regents Exam - Integrated Algebra: Test Prep & Practice
- NY Regents Exam - Geometry: Test Prep & Practice
- Algebra I: High School
- PSAT Prep: Practice & Study Guide
- Study.com ACT® Test Prep: Practice & Study Guide
- AP Calculus AB & BC: Homeschool Curriculum
- High School Trigonometry: Homeschool Curriculum
- College Mathematics Remediation
- High School Geometry Textbook
- Algebra II Textbook

- Proving That a Quadrilateral is a Parallelogram
- Parallelogram in Geometry: Definition, Shapes & Properties
- Parallelograms: Definition, Properties, and Proof Theorems
- How to Find the Height of a Parallelogram
- Parallelogram Lesson for Kids
- Proofs for Parallelograms
- Formula for Finding the Area of a Parallelogram
- Algebra II Assignment - Simplifying & Solving Exponential Expressions
- Algebra II Assignment - Identifying & Graphing Conic Sections
- Algebra II Assignment - Working with Exponential & Logarithmic Functions
- Algebra II Assignment - Calculations Using Ratios, Rates & Proportions
- Algebra II Assignment - Exponents, Polynomials, Functions & Quadratic Equations
- Algebra II Homeschool Assignment Answer Keys
- Arcsine: Definition & Overview
- Blood Libel: Definition & Concept

Create an account to start this course today

Used by over 30 million students worldwide
Browse by subject

Upgrade to enroll

Upgrade to Premium to enroll in Geometry: High School

Enrolling in a course lets you earn progress by passing quizzes and exams.

Track course progress

Take quizzes and exams

Earn certificates of completion

You will also be able to:

- Create a Goal
- Create custom courses
- Get your questions answered

Upgrade to **Premium** to add all these features to your account!

Upgrade Now
Upgrade to **Premium** to add all these features to your account!