How to Calculate the Area of a Rhombus

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Calculating the area of geometric shapes is a fundamental skill in mathematics. One of the lesser-known shapes in this regard is the rhombus. While the formula for finding the area of a rectangle or a triangle may be more well-known, understanding how to calculate the area of a rhombus is equally important. This four-sided figure has unique characteristics, including equal sides and opposite angles that are equal as well. In this guide, we will dive into the concept of a rhombus and explore the step-by-step process of calculating its area. By the end, you will have a clear understanding of how to solve for the area of a rhombus, opening up a whole new world of geometry problems and applications.

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A rhombus is a parallelogram with 4 equal sides. There are 3 ways to calculate the area of a rhombus, follow these steps:

Table of Contents

Steps

Use Diagonal

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Find the length of each diagonal. The diagonal of a rhombus is the line connecting opposite vertices. The two diagonals of a rhombus are perpendicular to each other at their intersection.

• Suppose we have two lines of length 6 cm and 8 cm.

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Multiply the lengths of the two diagonals together. You just need to measure and write down the lengths of the 2 diagonals, then multiply them together. In this case, we have 6 cm x 8 cm = 48 cm ² . Don’t forget the unit must be squared because this is the area.

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Divide the result by 2. In the above step we have 6 cm x 8 cm = 48 cm ² , divide this number by 2. 48 cm ² /2 = 24 cm ² . Thus, the area of the rhombus is 24 cm ² .

Use Bottom Edge Length and Height

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Find the base length and height. In addition to the above method, you can calculate the area of a rhombus by multiplying the length of a side by its height. For example, let’s say the height of the rhombus is 7 cm and the base is 10 cm.

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Multiply the bottom by the height. Once you know the length and height of the rhombus, all you have to do to find the area is multiply them. We have, 10 cm x 7 cm = 70 cm ² . The area of the rhombus is 70 cm ² .

Using Coefficients in Triangles

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Square the length of any side of the rhombus. A rhombus has 4 equal sides, so you can choose any side. For example, the side of a rhombus is 2 cm long. 2 cm x 2 cm = 4 cm ² .

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Multiply the resulting value by the sine of one of the four angles, it doesn’t matter which angle you choose. Let’s say for an angle value of 33 degrees. Multiply the sin (33) by 4 cm ² to get the area of the rhombus. (2 cm) ² x sin (33) = 4 cm ² x 1 = 4 cm ² . The area of the rhombus is 4 cm ² .

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wikiHow is a “wiki” site, which means that many of the articles here are written by multiple authors. To create this article, 16 people, some of whom are anonymous, have edited and improved the article over time.

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This article has been viewed 312,774 times.

A rhombus is a parallelogram with 4 equal sides. There are 3 ways to calculate the area of a rhombus, follow these steps:

In conclusion, calculating the area of a rhombus can be easily done by using the formula: area = (diagonal 1 * diagonal 2) / 2. The process involves measuring the length of the diagonals, multiplying them together and dividing the result by 2. This formula applies to all rhombuses, regardless of their size or orientation. Additionally, it is important to note that the diagonals of a rhombus are perpendicular to each other and bisect each other at a 90-degree angle. By following these steps, one can accurately determine the area of a rhombus, providing a useful tool for various geometric calculations and applications.

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