How to find the area of any quadrilateral

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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.

How to find the area of any quadrilateral

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 calculate the area of a quadrilateral? Properties of a quadrilateral. Formulas of the area of different types of quadrilateral. Solved examples of the area of a quadrilateral. Practice Questions. An area is defined as any region which is included in a particular boundary or figure. If that figure has four sides, the region inside these four sides will be called an area of a quadrilateral.

Quadrilateral ABCDshown below, is a square.

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. A regular quadrilateral is a quadrilateral in which all sides are of equal length.

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. But what if all the sides are different? Just divide it into triangles!

How to find the area of any quadrilateral

If you are wondering how to find the area of any quadrilateral, check out this quadrilateral calculator. We implemented three quadrilateral area formulas so that you can find the area given diagonals and angles between them, bimedians and angles between them, or all sides and two opposite angles. In the default option, you can also find the quadrilateral perimeter. If you are looking for a specific quadrilateral shape - for example, a rhombus or a kite - check our comprehensive list of area calculators below. A quadrilateral is a polygon with four edges and four vertices. Sometimes it is called a quadrangle or a tetragon, by analogy to three-sided triangles and polygons with more sides pentagon, hexagon, heptagon, octagon, etc. Quadrilaterals can be:. Assume that you want to calculate the area of a parcel. It's in the quadrilateral shape, but not any specific - it's neither a rectangle nor a trapezoid. The quadrilateral area calculator is the best choice!

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Submit a Tip All tip submissions are carefully reviewed before being published. Since it is a square, the base is also 8. So I assume you gave it a go. What is a quadrilateral? Did this summary help you? Skip to Content. Commercial Maths. Perimeter vs. Using a side length as the height of a parallelogram Students may mistake the side length of a parallelogram for its height. Our Mission. Before you can find the area of a regular quadrilateral, start by identifying the type of quadrilateral in the problem, since different types of quadrilaterals require different equations. Observe the directions given in the dark arrows, add the diagonal products, i. So if we want to find the total area, we just add all of these together.

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.

Lastly, add the area of two triangles to obtain the area of the complete quadrilateral. Divide the quadrilateral into 2 triangles. Go to Topic. To find the area of a quadrilateral, you multiply the base times the height or length X width. Properties of Quadrilateral Some of the important properties of a quadrilateral that are needed to understand the topic more clearly are listed below: The summation of all the interior angles of a quadrilateral is degrees. So obviously, to find the area of the new triangle, you must divide by 2. Trapezoid A trapezoid, also known as a trapezium, is a closed 2 dimensional shape with four straight sides and only one pair of parallel sides. Math resources Geometry Area of a quadrilateral. Area of a Quadrilateral by dividing it into 2 triangles can be obtained as follows:. What is the difference between quadrilateral and triangle? So it seems like we have another one just like that. A quadrilateral is a closed shape that is bounded by four line segments. But parallelograms don't look like rectangles most of the time, so what's going on?