109 LearnersLast updated on August 5th, 2025
Perimeter of Diamond
The perimeter of a shape is the total length of its boundary. The sum of all four sides is called the perimeter of a diamond. Perimeter is also used for fencing a property, sewing, and more. In this topic, we will learn about the perimeter of a diamond.
What is the Perimeter of a Diamond?
The perimeter of a diamond is the total length of its four equal sides. By adding the length of all four sides, we get the perimeter of the shape. The formula for the perimeter of a diamond is 𝑷 = 4 × 𝑎, where a is the length of one side of the diamond. For instance, if a diamond has a side length, a = 6, then its perimeter is p = 4 × 6 = 24.
Formula for Perimeter of Diamond - 𝑷 = 4 × 𝑎.
Let’s consider another example of a diamond with a side length, 𝑎 = 8. So the perimeter of the diamond will be: 𝑷 = 4 × 𝑎 = 4 × 8 = 32.
How to Calculate the Perimeter of Diamond
To find the perimeter of a diamond, we just need to apply the given formula and multiply the side length by four. For instance, a given diamond has a side of a = 6. Perimeter = 4 × 6 = 24 cm. Example Problem on Perimeter of Diamond - For finding the perimeter of a diamond, we use the formula, 𝑷 = 4 × 𝑎. For example, let’s say a = 5 cm. Now, the perimeter = 4 × 5 = 20 cm. Therefore, the perimeter of the diamond is 20 cm.
Tips and Tricks for Perimeter of Diamond
Learning some tips and tricks makes it easier for children to calculate the perimeter of diamonds. Here are some tips and tricks given below: Always remember that a diamond's perimeter is simply four times the length of one side of the shape. For that, use the formula, 𝑷 = 4 × 𝑎. Calculating the perimeter of a diamond starts by determining the length of one side using the distance formula. The distance formula is: Distance = √((x2-x1)²+(y2-y1)²). Here, (x1, y1) and (x2, y2) indicate the positions of two points that make out a diamond’s side. They can be found by measuring one side and multiplying by four. To reduce confusion, arrange the side lengths if you need the perimeter of a group of diamonds. After that, apply the formula to each diamond. To avoid mistakes when calculating the perimeter, make sure the side lengths are precise and constant for common uses like gardening and architecture. If you are given the semi-perimeter, which is half the perimeter, you can multiply it by 2 to determine the full perimeter. Area-related calculations often use the semi-perimeter.
Common Mistakes and How to Avoid Them in Perimeter of Diamond
Did you know that while working with the perimeter of a diamond, children might encounter some errors or difficulties? We have many solutions to resolve these problems. Here are some given below:
Mistake 1
Incorrectly using the formula for triangles instead of diamonds.
Remember that the formula for a diamond is 𝑷 = 4 × 𝑎, not the sum of three sides as in a triangle.
Mistake 2
Students may confuse the concepts of area and perimeter, leading to incorrect calculations.
It is important to note that the perimeter, calculated in linear units, is the total length of the diamond’s sides, while the area, in square units, represents the space inside the diamond.
Mistake 3
Assuming that every diamond has the same side length, which results in inaccurate calculations.
Diamonds have four equal sides. Always be careful about the side measurements to ensure accurate calculations.
Mistake 4
Using the wrong values for the length of the sides, misreading a problem, or mislabeling the sides.
Double-check the problem and ensure that you're using the correct lengths for your diamond.
Mistake 5
Misunderstanding or misidentifying the side lengths that are given in a problem outline.
Before starting the calculations, make sure that you understand the problem and, if it's possible, try to draw a diamond to accurately identify the side lengths.
Perimeter of Diamond Examples
Problem 1
A diamond-shaped garden has a perimeter of 48 meters and one side measuring 12 meters. To find out the missing side, simply divide the total perimeter by four.
Length of each side = 12 meters.
Explanation
Let ‘a’ be the side of the diamond. And the given perimeter = 48 meters. Perimeter of diamond = 4 × a. 48 = 4 × a a = 48 ÷ 4 = 12 Therefore, each side is 12 meters.
Problem 2
A string with a perimeter of 400 inches is reshaped into a diamond. Find the length of each side of the diamond by dividing the total length by 4.
100 inches
Explanation
Given that the perimeter of the string is equal to the total length of the diamond: Perimeter of the diamond = Total length of the string Perimeter of a diamond = 4 × a 400 = 4 × a 400 ÷ 4 = 100 a = 100 Therefore, the length of each side of the diamond is 100 inches.
Problem 3
Find the perimeter of a diamond whose side is 15 cm.
60 cm
Explanation
Perimeter of diamond = 4 × a P = 4 × 15 = 60 Therefore, the perimeter of the diamond is 60 cm.
Problem 4
Liam is planning a diamond-shaped fence in his backyard. He measures one side of the fence: Side = 20 meters How much material should Liam buy to go around the edge of the fence?
Liam will need 80 meters of material to go around the fence.
Explanation
The perimeter of a diamond is four times one side. Using the formula: P = 4 × a P = 4 × 20 = 80 meters.
Problem 5
Find the perimeter of a diamond-shaped field with a side of 25 meters.
Perimeter = 4 × a = 4 × 25 = 100 meters.
Explanation
Each side of the diamond field is of equal length. The entire distance is calculated around the field to be 100 meters by multiplying the side length by four.
FAQs on Perimeter of Diamond
1.Evaluate the diamond’s perimeter if its side is 9 cm.
2.What is meant by a diamond’s perimeter?
3.What is a diamond in geometry?
4.What shape has equal sides and angles?
5.What is a semi-perimeter in geometry?
Important Glossaries for Perimeter of Diamond
Perimeter: The total length of the sides of a shape. Diamond: A four-sided shape with equal sides and opposite sides that are parallel. Formula of perimeter: The mathematical expression used to calculate the perimeter of a diamond is 𝑷 = 4 × 𝑎. Semi-perimeter: Half of the perimeter, used in various geometric calculations. Rhombus: Another name for a diamond in geometry, a quadrilateral with all sides equal.
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Seyed Ali Fathima S
About the Author
Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.
Fun Fact
: She has songs for each table which helps her to remember the tables
