How to find the area of any quadrilateral

The area of a quadrilateral is the amount of region that is present inside it.

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How to find the area of any quadrilateral

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. Area of a Quadrilateral by dividing it into 2 triangles can be obtained as follows:. Find the area of the quadrilateral PQRS. Then the area of the quadrilateral can be computed by the below formula:. In general, we apply this formula to obtain the area of a triangle when the three sides are different. The below-mentioned procedure is used to locate the area of the quadrilateral. To find the area of a quadrilateral with vertices, you need to know the coordinates of the four vertices. Once you have the coordinates, you can use the formula for the area of a quadrilateral to calculate the area.

The diagonals of a square bisect each other perpendicularly which implies they bisect at an angle of 90 degrees.

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.

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!

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!

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The area of a quadrilateral is measured in square units like square metre, square centimetre etc. This is 5 by 1. Then add the correct units. For the quadrilateral ABCD, if we use centimeter as the unit of measurement, the unit of measure for the area will be cm 2. Report An Error. Always on the lookout for fun math games and activities in the classroom? Using this formula, we can find the areas of the two triangles that are formed by the quadrilateral and add them to get the area of the quadrilateral. A kite's orientation can throw you off because your "diagonal" lines d1 and d2 might not look diagonal at all—they might actually be vertical and horizontal. To find the area of a quadrilateral, you multiply the base times the height or length X width. The sum of all the interior angles of a quadrilateral is always degrees.

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.

Example 6: area of a right trapezoid Find the area of the following trapezoid: Decompose the shape into a rectangle and two triangles or one triangle if it is a right trapezoid. Since a square is also a rhombus, if you only know the measurement of a diagonal, you can also find the area of a square using the rhombus formula. The area of a quadrilateral can be found by dividing into two triangles using a diagonal. Colleen Murray. Trapezoid -- a quadrilateral with one pair of parallel opposite sides and one pair of non-parallel sides; this shape looks like a square with an extra right triangle on the side. Thank you for your feedback. No account yet? We can think of the rectangle above as two rows of three units or three columns of two units. Also, there are specific formulas for square, rectangle, rhombus, kite, parallelogram, and trapezium for the area calculation. Calculate the area of a kite having diagonals of length 13m and 10m? The below-mentioned procedure is used to locate the area of the quadrilateral. The area of a rectangle using the above formula will yield the product of its two adjacent sides, base and height. Area is measured in square units. Parallelogram -- a quadrilateral with opposite sides which are parallel and opposite angles which are equal.