How to Calculate the Area of a Rhombus

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A rhombus is a four-sided polygon with equal side lengths and opposite angles that are also equal. While finding the area of a square or rectangle is relatively straightforward, calculating the area of a rhombus requires a different approach. In this guide, we will explore the step-by-step process of determining the area of a rhombus by using different formulas and techniques. By understanding the principles behind this geometric shape, you will be able to confidently calculate the area of any rhombus you encounter.

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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 involves a simple and straightforward formula that can be easily applied. By multiplying the lengths of the diagonals and dividing the result by 2, we can determine the area of a rhombus accurately. However, it is essential to ensure that the diagonals are measured correctly, as any inaccuracies can affect the accuracy of the final result. Additionally, it is important to note that the formula for the area of a rhombus is applicable only when the diagonals are known. Overall, understanding how to calculate the area of a rhombus can be a valuable skill in various contexts, such as geometry or engineering, as it allows for the determination of the enclosed space within this specific quadrilateral shape.

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