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Calculating the area of shapes is a fundamental concept in mathematics and is crucial in a variety of fields, such as engineering, architecture, and physics. The area refers to the space occupied within the boundaries of a shape and can be defined as the measurement of two-dimensional space. Whether you are working with simple shapes like squares and rectangles, or more complex ones like circles and triangles, understanding how to calculate their area is essential. In this article, we will explore various formulas and methods to determine the area of different shapes, providing you with a comprehensive guide to these calculations. By the end, you will have a solid understanding of how to calculate the area of shapes and will be able to apply this knowledge to solve practical problems in various scenarios.
This article was co-written by David Jia. David Jia is a tutoring teacher and founder of LA Math Tutoring, a private tutoring facility based in Los Angeles, California. With over 10 years of teaching experience, David teaches a wide variety of subjects to students of all ages and grades, as well as college admissions counseling and prep for SAT, ACT, ISEE, etc. scoring 800 in math and 690 in English on the SAT, David was awarded a Dickinson Scholarship to the University of Miami, where he graduated with a bachelor’s degree in business administration. Additionally, David has worked as an instructor in online videos for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.
There are 12 references cited in this article that you can view at the bottom of the page.
This article has been viewed 6,075 times.
There are many reasons why you might want to know the area of some geometry. Whether you’re doing your homework or want to know how much paint you need to buy to repaint a room, wikiHow can help no matter what! Start with Step 1 below to learn how to calculate the area of geometric shapes.
Steps
Squares, rectangles, and parallelograms
![Image titled Find the Area of a Shape Step 1](https://www.wikihow.com/images_en/thumb/7/7f/Find-the-Area-of-a-Shape-Step-1-Version-4.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-1-Version-4.jpg)
- For a parallelogram, you need to use the base edge and height, which is similar to the concept of width and height.
- In practice, you will have to measure yourself, but for homework, the teacher has given these measurements on the picture.
![Image titled Find the Area of a Shape Step 2](https://www.wikihow.com/images_en/thumb/0/0b/Find-the-Area-of-a-Shape-Step-2-Version-4.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-2-Version-4.jpg)
- If you are calculating the area of a square, you can save time by using a calculator and squaring one side. If the side length is 4 cm, then press the number 4 and then press the square button on the calculator to get the answer. To square is to multiply the number by itself.
![Image titled Find the Area of a Shape Step 3](https://www.wikihow.com/images_en/thumb/c/ce/Find-the-Area-of-a-Shape-Step-3-Version-4.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-3-Version-4.jpg)
- The unit of area is also abbreviated as a small 2 above the length symbol to replace the word “square”.
Trapezoid
![Image titled Find the Area of a Shape Step 4](https://www.wikihow.com/images_en/thumb/5/50/Find-the-Area-of-a-Shape-Step-4-Version-4.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-4-Version-4.jpg)
- In practice, you will have to measure yourself, but for homework, the teacher has given these measurements on the picture.
![Image titled Find the Area of a Shape Step 5](https://www.wikihow.com/images_en/thumb/d/d8/Find-the-Area-of-a-Shape-Step-5-Version-4.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-5-Version-4.jpg)
![Image titled Find the Area of a Shape Step 6](https://www.wikihow.com/images_en/thumb/4/4d/Find-the-Area-of-a-Shape-Step-6-Version-3.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-6-Version-3.jpg)
![Image titled Find the Area of a Shape Step 7](https://www.wikihow.com/images_en/thumb/e/e0/Find-the-Area-of-a-Shape-Step-7-Version-3.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-7-Version-3.jpg)
![Image titled Find the Area of a Shape Step 8](https://www.wikihow.com/images_en/thumb/4/48/Find-the-Area-of-a-Shape-Step-8-Version-3.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-8-Version-3.jpg)
Circle
![Image titled Find the Area of a Shape Step 9](https://www.wikihow.com/images_en/thumb/e/e9/Find-the-Area-of-a-Shape-Step-9-Version-3.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-9-Version-3.jpg)
- In practice, you will have to measure yourself, but for homework, the teacher has given these measurements on the picture.
![Image titled Find the Area of a Shape Step 10](https://www.wikihow.com/images_en/thumb/0/0b/Find-the-Area-of-a-Shape-Step-10-Version-3.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-10-Version-3.jpg)
![Image titled Find the Area of a Shape Step 11](https://www.wikihow.com/images_en/thumb/2/27/Find-the-Area-of-a-Shape-Step-11-Version-3.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-11-Version-3.jpg)
![Image titled Find the Area of a Shape Step 12](https://www.wikihow.com/images_en/thumb/b/b8/Find-the-Area-of-a-Shape-Step-12-Version-3.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-12-Version-3.jpg)
Fan shape
![Image titled Find the Area of a Shape Step 13](https://www.wikihow.com/images_en/thumb/6/6b/Find-the-Area-of-a-Shape-Step-13-Version-3.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-13-Version-3.jpg)
- In practice, you will have to measure yourself, but for homework, the teacher has given these measurements on the picture.
![Image titled Find the Area of a Shape Step 14](https://www.wikihow.com/images_en/thumb/3/39/Find-the-Area-of-a-Shape-Step-14-Version-3.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-14-Version-3.jpg)
![Image titled Find the Area of a Shape Step 15](https://www.wikihow.com/images_en/thumb/a/a6/Find-the-Area-of-a-Shape-Step-15-Version-3.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-15-Version-3.jpg)
![Image titled Find the Area of a Shape Step 16](https://www.wikihow.com/images_en/thumb/6/67/Find-the-Area-of-a-Shape-Step-16-Version-3.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-16-Version-3.jpg)
![Image titled Find the Area of a Shape Step 17](https://www.wikihow.com/images_en/thumb/e/e7/Find-the-Area-of-a-Shape-Step-17-Version-3.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-17-Version-3.jpg)
![Image titled Find the Area of a Shape Step 18](https://www.wikihow.com/images_en/thumb/0/03/Find-the-Area-of-a-Shape-Step-18-Version-3.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-18-Version-3.jpg)
Ellipse
![Image titled Find the Area of a Shape Step 19](https://www.wikihow.com/images_en/thumb/b/bb/Find-the-Area-of-a-Shape-Step-19-Version-3.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-19-Version-3.jpg)
- In practice, you will have to measure yourself, but for homework, the teacher has given these measurements on the picture.
![Image titled Find the Area of a Shape Step 20](https://www.wikihow.com/images_en/thumb/3/3e/Find-the-Area-of-a-Shape-Step-20-Version-3.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-20-Version-3.jpg)
![Image titled Find the Area of a Shape Step 21](https://www.wikihow.com/images_en/thumb/f/f8/Find-the-Area-of-a-Shape-Step-21-Version-3.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-21-Version-3.jpg)
![Image titled Find the Area of a Shape Step 22](https://www.wikihow.com/images_en/thumb/2/25/Find-the-Area-of-a-Shape-Step-22-Version-3.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-22-Version-3.jpg)
Triangle
![Image titled Find the Area of a Shape Step 23](https://www.wikihow.com/images_en/thumb/d/d5/Find-the-Area-of-a-Shape-Step-23-Version-3.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-23-Version-3.jpg)
- In practice you will have to measure yourself, but for homework, the teacher has given these measurements on the picture.
![Image titled Find the Area of a Shape Step 24](https://www.wikihow.com/images_en/thumb/8/80/Find-the-Area-of-a-Shape-Step-24-Version-3.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-24-Version-3.jpg)
![Image titled Find the Area of a Shape Step 25](https://www.wikihow.com/images_en/thumb/d/d9/Find-the-Area-of-a-Shape-Step-25-Version-3.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-25-Version-3.jpg)
![Image titled Find the Area of a Shape Step 26](https://www.wikihow.com/images_en/thumb/0/02/Find-the-Area-of-a-Shape-Step-26-Version-3.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-26-Version-3.jpg)
Complex shapes
![Image titled Find the Area of a Shape Step 27](https://www.wikihow.com/images_en/thumb/d/d4/Find-the-Area-of-a-Shape-Step-27-Version-3.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-27-Version-3.jpg)
- You will initially find right angles and parallel sides. It is the basis of many shapes.
![Image titled Find the Area of a Shape Step 28](https://www.wikihow.com/images_en/thumb/6/66/Find-the-Area-of-a-Shape-Step-28-Version-3.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-28-Version-3.jpg)
![Image titled Find the Area of a Shape Step 29](https://www.wikihow.com/images_en/thumb/3/32/Find-the-Area-of-a-Shape-Step-29-Version-3.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-29-Version-3.jpg)
![Image titled Find the Area of a Shape Step 30](https://www.wikihow.com/images_en/thumb/2/2c/Find-the-Area-of-a-Shape-Step-30-Version-3.jpg/v4-728px-Find-the-Area-of-a-Shape-Step-30-Version-3.jpg)
Advice
- Use this calculator if needed and when you want to see how the problem is solved.
- Ask your friends for help if you get stuck!
Warning
- Remember to use the same unit of measure to avoid confusing numbers!
- You’d better check the results again after the calculation is done!
This article was co-written by David Jia. David Jia is a tutoring teacher and founder of LA Math Tutoring, a private tutoring facility based in Los Angeles, California. With over 10 years of teaching experience, David teaches a wide variety of subjects to students of all ages and grades, as well as college admissions counseling and prep for SAT, ACT, ISEE, etc. scoring 800 in math and 690 in English on the SAT, David was awarded a Dickinson Scholarship to the University of Miami, where he graduated with a bachelor’s degree in business administration. Additionally, David has worked as an instructor in online videos for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.
There are 12 references cited in this article that you can view at the bottom of the page.
This article has been viewed 6,075 times.
There are many reasons why you might want to know the area of some geometry. Whether you’re doing your homework or want to know how much paint you need to buy to repaint a room, wikiHow can help no matter what! Start with Step 1 below to learn how to calculate the area of geometric shapes.
In conclusion, calculating the area of shapes is a fundamental skill in mathematics and is used in various real-world applications. Knowing how to calculate the area of common shapes such as rectangles, triangles, circles, and polygons enables us to solve complex problems involving measurements and spatial concepts. By understanding the formulas and methods involved, we can accurately measure the area of any given shape and make informed decisions based on that information. Additionally, technology and online resources have made it easier than ever to quickly calculate areas, providing us with efficient tools to aid in our calculations. Overall, mastering the ability to calculate the area of shapes is an essential skill in both academic and practical settings.
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