How to find the area of any quadrilateral

The area of a quadrilateral is the amount of region that is present inside it. Let us recall what is a quadrilateral. A quadrilateral is a closed shape that is bounded by four line segments. A quadrilateral can be regular or irregular.

The area of the quadrilateral is the region enclosed by the four sides of this polygon. There are two types of quadrilaterals - regular and irregular. On this page, you will learn how to find the area of any type of quadrilateral, be it a square or a trapezium. You will learn the following topics on this page. Definition of area of a quadrilateral. Types of quadrilateral.

How to find the area of any quadrilateral

Always on the lookout for fun math games and activities in the classroom? Try our ready-to-go printable packs for students to complete independently or with a partner! Here you will learn about the area of a quadrilateral, including how to find the area of a rectangle, square, parallelogram, and trapezoid. Students will first learn about the area of a quadrilateral as part of measurement and data in third grade when they learn about the area of a rectangle. They expand on this knowledge into 6th grade when they learn how to calculate the area of more complex shapes, such as parallelograms and trapezoids. To find the area of a quadrilateral, you can either count the number of unit squares within a shape or use the appropriate area formula for that shape. Area is measured in square units. This rectangle contains 15 squares. If we chop one end off of a parallelogram and rearrange it, we get a rectangle. This is why the formula for area of a parallelogram is the same as the area of a rectangle. Step-by-step guide: Area of a parallelogram. In order to find the area of a trapezoid, you need to decompose the shape into a rectangle and two triangles or a rectangle and one triangle if it is a right trapezoid. Step-by-step guide: Area of a trapezoid.

Just get the length of one of the short sides and one of the long sides.

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Search for courses, skills, and videos. Area of shapes on grids. About About this video Transcript. Learn to break up oddly shaped quadrilaterals into shapes where finding the area is more easily determined. Created by Sal Khan.

Last Updated: March 16, Fact Checked. With over 10 years of teaching experience, David works with students of all ages and grades in various subjects, as well as college admissions counseling and test preparation for the SAT, ACT, ISEE, and more. This article has been fact-checked, ensuring the accuracy of any cited facts and confirming the authority of its sources. This article has been viewed 1,, times. If you're stuck on your geometry homework trying to figure out the area of a quadrilateral, you've come to the right place! Remember—the "area" of a shape is just how much 2-dimensional space it takes up. For some quadrilaterals, there's a handy formula you can use to calculate the area.

How to find the area of any quadrilateral

Our area of quadrilateral calculator will help you to determine the area of any quadrilateral with different known parameters. This article will briefly discuss quadrilaterals and the different quadrilateral area formulae available. So join us below to learn how to find the area of a quadrilateral. Q: But what if the lines don't form a closed figure? A: A quadrilateral is a closed figure a polygon with four sides.

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Students will first learn about the area of a quadrilateral as part of measurement and data in third grade when they learn about the area of a rectangle. What is the length of the other diagonal? It is the combined sum of the area of the regular and irregular triangles within. Share yours! What is the area of the quadrilateral above? All of these are pretty straightforward to figure out what their dimensions are. An area is defined as any region which is included in a particular boundary or figure. Thanks much! Solved Examples of Area of a Quadrilateral With the complete information on the area, its formula, how to calculate let us check out some solved examples of area of a quadrilateral: Example 1: Locate the area of a rhombus whose diagonals are 10 cm and 8 cm respectively. Thus, the area will be the product of base and height. And this is 1 by 1, 2, 3, 4, 5. Area of a Quadrilateral.

If you are wondering how to find the area of any quadrilateral, check out this quadrilateral calculator.

There are 6 types of quadrilaterals. Some of the important properties of a quadrilateral that are needed to understand the topic more clearly are listed below:. In this video, SmithMathAcademy goes over how to find the area of squares, rectangles, general parallelograms, and irregular polygons. So what is the area of this figure? The diagonals of a square bisect each other perpendicularly which implies they bisect at an angle of 90 degrees. This means we have a parallelogram with the same height as our trapezoid and a base equal to the sum of the trapezoid's bases. Example 1 : Calculate the area of a quadrilateral with the given measurements:. The answer is yes! In this page, we will see how to find the area of a quadrilateral by splitting it as two triangles and how to find the area of a quadrilateral using its 4 sides. Zev Sharma. This image may not be used by other entities without the express written consent of wikiHow, Inc. Home Maths Area of a Quadrilateral. Finding the Area of a Parallelogram Say you're given a parallelogram with a base of length b and a height of length h.