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How to Calculate the Area of a Rhombus

July 30, 2023 by admin Category: How To

You are viewing the article How to Calculate the Area of a Rhombus  at Tnhelearning.edu.vn you can quickly access the necessary information in the table of contents of the article below.

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
    • Use Bottom Edge Length and Height
    • Using Coefficients in Triangles

Steps

Use Diagonal

Image titled Calculate the Area of a Rhombus Step 1

Image titled Calculate the Area of a Rhombus Step 1

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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.
Image titled Calculate the Area of a Rhombus Step 2

Image titled Calculate the Area of a Rhombus Step 2

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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.
Image titled Calculate the Area of a Rhombus Step 3

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Image titled Calculate the Area of a Rhombus Step 3

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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

Image titled Calculate the Area of a Rhombus Step 4

Image titled Calculate the Area of a Rhombus Step 4

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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.
Image titled Calculate the Area of a Rhombus Step 5

Image titled Calculate the Area of a Rhombus Step 5

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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

Image titled Calculate the Area of a Rhombus Step 6

Image titled Calculate the Area of a Rhombus Step 6

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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 .
  • Image titled Calculate the Area of a Rhombus Step 7

    Image titled Calculate the Area of a Rhombus Step 7

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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.

    READ More:   How to Check if the port is open or not

    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.

    Thank you for reading this post How to Calculate the Area of a Rhombus at Tnhelearning.edu.vn You can comment, see more related articles below and hope to help you with interesting information.

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    5. Different methods to calculate the area of a rhombus
    6. Properties of a rhombus and how they relate to its area
    7. Common mistakes in finding the area of a rhombus and how to avoid them
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