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.

In geometry , a quadrilateral is a closed shape that is developed by connecting four points among which any three points are non-collinear. A quadrilateral constitutes four sides, four angles, and four vertices. Area is the region involved inside the boundary of a flat object or structure. The approach of calculating the area of a quadrilateral depends on the type and the data available about the quadrilateral. Area of a quadrilateral is the section enclosed by the 4 sides of this polygon. The general formula of the area of a quadrilateral is base multiplied by its height. For the calculation of area, there are pre-specified formulas for triangles , rectangles , squares, circles , general quadrilaterals etc.

How to find the area of any quadrilateral

A quadrilateral is a figure, or shape, with four sides. Rectangles and squares are both quadrilaterals. The formula of area of rectangles and squares are rather straightforward--it is width times length. However, for squares, the width equals the length. In fact, you can cut up any quadrilateral and rearrange the pieces to make a rectangle. Since you are using the pieces from the old quadrilateral, the new rectangle will has the same area. This way, the area formula of a rectangle applies to all quadrilaterals! Here are some graphics that show you the formulas to find the areas of different quadrilaterals: squares, rectangles, parallelograms, rhombi, trapezoids, and kites. In this video, SmithMathAcademy goes over how to find the area of squares, rectangles, general parallelograms, and irregular polygons. Let's say a rectangle has a base of length b and a height of length h. Note: you can also say that the rectangle has length b and width h. To find the area of an irregular polygon, simply break down the shape into smaller polygons, and find the area of those. Let's look at an example where we find the area of the following polygon from the video:.

Edit this Article.

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. A quadrilateral that is not regular is called an irregular quadrilateral. There are 6 types of quadrilaterals.

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.

How to find the area of any quadrilateral

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!

Sne lx3

Find the area of the quadrilateral. Area of a Triangle. A quadrilateral is a closed 2 dimensional shape with 4 straight sides and 4 vertices. Maths Formulas. Video transcript I want you to pause this video and figure out if you can figure out the area of this quadrilateral right over here. Please read our Cookies Policy for information on how we use cookies and how to manage or change your cookie settings. Summary Finding the Area of a Square A square has four sides of equal lengths. Every quadrilateral has four vertices, four sides, and four angles. Areas of Different Quadrilaterals Here are some graphics that show you the formulas to find the areas of different quadrilaterals: squares, rectangles, parallelograms, rhombi, trapezoids, and kites. So I assume you gave it a go. Go to Topic. Necessary Necessary. Correct Incorrect. Area of quadrilaterals including irregular shapes.

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.

In fact, you can cut up any quadrilateral and rearrange the pieces to make a rectangle. The unit corresponds with the unit used for the lengths you multiplied to find the area. Add the area of the rectangle to the area of each triangle. Key points on the area of quadrilateral. Learn about Construction of Rhombus There are 2 methods for determining the area of the quadrilateral at hand. Learn Area Of Quadrilateral with tutors mapped to your child's learning needs. We can "chop off" a triangle from the end of the parallelogram and stick it on the other end to create a rectangle with the same base and height! Find the area of the parallelogram. The area of a quadrilateral is measured in square units. The standard unit for measuring an area is mainly square metres, also written as m 2. Thank you for your feedback. Send Feedback. Popular Categories. Find the area of the quadrilateral, then find the area of a circle with the same radius as the semicircle and divide it by 2.