Perimeter of Rectangle: Definition, Formulas, Solved Examples
The perimeter of a rectangle is the total length of its boundary, made up of two equal longer sides and two equal shorter sides. Learn steps to calculate the perimeter of a rectangle with solved examples here.
Chandni 6 Aug, 2025
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Perimeter of Rectangle: Suppose you are helping your family build a vegetable garden in the backyard. To keep it safe from animals, you need to fence it completely.
But how much fencing material should you buy? The answer lies in calculating the perimeter of the rectangle, which is the total distance around its boundary. This simple yet practical concept plays a key role in many real-life scenarios. In this blog post, we will explore the basics of the perimeter of rectangle, how to calculate it, and its various applications in daily life.What is a Rectangle?
A rectangle is a two-dimensional quadrilateral with opposite sides that are equal in length and parallel. All four interior angles measure exactly 90 degree, making it an equiangular quadrilateral. The longer side is referred to as the length, while the shorter side is called the width. Additionally, the diagonals of a rectangle are equal in length and intersect at their midpoints, bisecting each other. applications and mathematical studies.Read More - Vertical Line
What is the Perimeter of a Rectangle?
The perimeter of rectangle is the total distance around its sides. To find it, start at one corner and count the units along each side until you get back to where you started. For example, suppose a rectangle has sides measuring 9 units and 3 units.
Perimeter of a Rectangle Formula
Learn how to Find the perimeter of rectangle. The perimeter of any shape is the total length of its boundary. For a rectangle, the perimeter is calculated by adding all its sides together: Rectangle perimeter formula = l+w+l+w This can be simplified to: l + l + w + w=(2 × l)+(2 × w) Or, using the following formula:𝑃 = 2 × (𝐿 +𝑊),
Here,- 𝑃 is the perimeter of a rectangle
- L is the length of a rectangle, and
- W is the width of a rectangle
Perimeter of a Rectangle Real-Life Applications
We have learned about how to find the perimeter of a rectangle now; let's move forward to applications. Here are a few real-life applications of calculating the perimeter of a rectangle:- To measure the length of barbed wire required to create a fence around a rectangular plot of land.
- To draw a border with limestone around a rectangular ground and determine how much limestone would be required to mark the ground’s total periphery.
- To calculate the length of ribbon needed to decorate the edges of a rectangular gift box.
- To determine the length of string lights required to outline the boundary of a rectangular patio or garden.
- To measure the total distance a runner covers when completing one lap around a rectangular track.
- To figure out how much paint or tape is required to mark the boundaries of a rectangular sports court or field.
Perimeter of a Rectangle Solved Examples
Example 1: Find the perimeter of the below rectangle.
- Two sides of 13 units each
- Two sides of 3 units each
Example 2: A rectangular garden has a length of 15 meters and a width of 10 meters. Find the perimeter.
Solution: The formula for the perimeter of a rectangle is: Perimeter = 2×(Length + Width) Substitute the values: Perimeter=2 × (15 +10) Perimeter = 2 × 25 = 50 meters Therefore, the perimeter of the garden is 50 meters .Example 4: A rectangular playground has a perimeter of 60 meters, and its length is 20 meters. Find the width.
Solution: Use the perimeter of rectangle formula: Perimeter = 2 × (Length + Width) Substitute the known values: 60 = 2 × (20 + width) = 60 = 40 + 2 width. Divide by 2: 30 = 20 + Width Width = 30 − 20=10 meters Therefore, the width of the playground is 10 meters .- Diagonal = 15 units
- Length = 9 units
Step 1: Calculate the square of the diagonal and length.
Diagonal =15 2 = 225 Length 2 =9 2 = 81Step 2: Subtract the square of the length from the square of the diagonal.
225−81=144Step 3: Take the square root of the result.
√144 = 12Step 4: Use the results to find the perimeter.
Perimeter = 2 ×9 + 2 × 12 = 18 + 24 = 42 The perimeter of the rectangle is 42 units . Join Online Class for Kids Online Now!!| Related Articles | |
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Perimeter of Rectangle FAQs
Is the Area and Perimeter of a Rectangle the Same?
No, the area and perimeter of a rectangle are not the same. The area refers to the total space enclosed within the rectangle and is expressed in square units such as square meters (m²) or square centimeters (cm²). It is calculated using the formula Area= Length ×Width. On the other hand, the perimeter is the total length of the rectangle’s boundary and is measured in linear units such as meters (m) or centimeters (cm). It is calculated using the formula: 2×(Length+Width)
How can you find the length of a rectangle with the given width and perimeter?
To find the length, use the formula:
Length = Perimeter/ 2−Width
Subtract the width from half the perimeter to calculate the length.
Can a rectangle have the same area and perimeter?
Yes, this happens when the rectangle's dimensions satisfy specific conditions, like a rectangle with length 4 and width.
Can you find the space covered by a rectangle using the perimeter formula?
No, the perimeter only measures the boundary length. To find the space covered, use the area formula: Area = Length×Width. The area is expressed in square units.
What happens to the perimeter if both length and width are doubled?
The perimeter also doubles because it depends linearly on the dimensions.
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