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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:
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.
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:
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