Class 5 - Perimeter of rectangle: Complete Learning Guide

Perimeter of a rectangle is an important Maths skill that helps Class 5 students to solve the problems in a simple way. In this article students will learn how to subtract fractions using simple steps and clear examples.

Table of Contents

• What is Perimeter of a Rectangle?
• Formula for the Perimeter Of a Rectangle
• Easy Steps to Find Perimeter of a Rectangle
• Solved Examples on Perimeter of a Rectangle
• Practice Questions on Perimeter of a Rectangle for Class 5
• Perimeter of a Rectangle Worksheet for Class 5

What Is Perimeter Of A Rectangle?

The perimeter of a rectangle is the total distance around the rectangle. It is the sum of the lengths of all four sides of the rectangle. When you add the measurements of all the outer edges of a rectangle, you get its perimeter.

Formula for the Perimeter Of a Rectangle

The formula to find the perimeter of a rectangle is simple and easy to remember.

Perimeter of Rectangle = 2 × Length + 2 × Width

We can also write this as:

Perimeter of Rectangle = 2 × (Length + Width)

In short form:

P = 2l + 2w

Or:

P = 2(l + w)

Here:

• P stands for perimeter
• l stands for length of the rectangle
• w stands for width of the rectangle

Easy Steps To Find Perimeter Of A Rectangle

Finding the perimeter of a rectangle is very easy. Just follow these simple steps:

STEP 1: IDENTIFY THE LENGTH

First, look at the rectangle and find the length. The length is the longer side of the rectangle. Write down the measurement of the length.

STEP 2: IDENTIFY THE WIDTH

Next, look at the rectangle and find the width. The width is the shorter side of the rectangle. Write down the measurement of the width.

STEP 3: MAKE SURE UNITS ARE THE SAME

Check that the length and width are measured in the same unit. For example, if the length is in centimeters, the width should also be in centimeters. If the units are different, convert them to the same unit first.

STEP 4: CHOOSE YOUR FORMULA

You can use either formula. The first formula is P = 2l + 2w. The second formula is P = 2(l + w). Both formulas give the same answer.

STEP 5: PUT IN THE NUMBERS

Replace l with the length and w with the width in the formula. Put the actual measurements in place of the letters.

STEP 6: MULTIPLY

Multiply the length by two. Multiply the width by two.

STEP 7: ADD

Add the results from step 6 together.

STEP 8: WRITE THE ANSWER

Write your final answer with the correct unit of measurement.

EXAMPLE:

Let us find the perimeter of a rectangle with length 10 meters and width 6 meters.

Step 1: Length = 10 meters

Step 2: Width = 6 meters

Step 3: Both are in meters, so we are good

Step 4: We will use P = 2l + 2w

Step 5: P = 2 × 10 + 2 × 6

Step 6: P = 20 + 12

Step 7: P = 32

Step 8: The perimeter is 32 meters

Let us check using the second formula:

P = 2(l + w)

P = 2(10 + 6)

P = 2 × 16

P = 32 meters

Both formulas give us 32 meters, which is correct.

Solved Examples On Perimeter Of A Rectangle

1: BASIC PERIMETER CALCULATION

Problem: Find the perimeter of a rectangle with length 12 centimeters and width 8 centimeters.

Solution:

We know that Perimeter = 2l + 2w

Here, l = 12 cm and w = 8 cm

Perimeter = 2 × 12 + 2 × 8

Perimeter = 24 + 16

Perimeter = 40 cm

Answer: The perimeter of the rectangle is 40 centimeters.

2: USING THE SECOND FORMULA

Problem: A rectangle has a length of 15 meters and a width of 10 meters. What is its perimeter?

Solution:

We know that Perimeter = 2(l + w)

Here, l = 15 m and w = 10 m

Perimeter = 2(15 + 10)

Perimeter = 2 × 25

Perimeter = 50 m

Answer: The perimeter of the rectangle is 50 meters.

3: PERIMETER WITH DECIMAL VALUES

Problem: Find the perimeter of a rectangle with length 7.5 centimeters and width 4.5 centimeters.

Solution:

We know that Perimeter = 2l + 2w

Here, l = 7.5 cm and w = 4.5 cm

Perimeter = 2 × 7.5 + 2 × 4.5

Perimeter = 15 + 9

Perimeter = 24 cm

Answer: The perimeter of the rectangle is 24 centimeters.

QUESTION 4: WORD PROBLEM - FENCING A FIELD

Problem: A rectangular field has a length of 30 meters and a width of 20 meters. A farmer wants to put a fence around the entire field. How much fencing does he need?

Solution:

To find how much fencing is needed, we need to find the perimeter of the rectangular field.

Perimeter = 2l + 2w

Here, l = 30 m and w = 20 m

Perimeter = 2 × 30 + 2 × 20

Perimeter = 60 + 40

Perimeter = 100 m

Answer: The farmer needs 100 meters of fencing.

QUESTION 5: FINDING THE WIDTH WHEN PERIMETER IS GIVEN

Problem: A rectangle has a perimeter of 48 centimeters and a length of 15 centimeters. Find the width of the rectangle.

Solution:

We know that Perimeter = 2l + 2w

Here, Perimeter = 48 cm and l = 15 cm

48 = 2 × 15 + 2w

48 = 30 + 2w

48 - 30 = 2w

18 = 2w

w = 18 ÷ 2

w = 9 cm

Answer: The width of the rectangle is 9 centimeters.

QUESTION 6: WORD PROBLEM - PUTTING A BORDER

Problem: Sarah has a rectangular piece of cloth that is 40 centimeters long and 25 centimeters wide. She wants to put a decorative border around the cloth. What is the length of the border she needs?

Solution:

To find the length of the border, we need to find the perimeter of the cloth.

Perimeter = 2(l + w)

Here, l = 40 cm and w = 25 cm

Perimeter = 2(40 + 25)

Perimeter = 2 × 65

Perimeter = 130 cm

Answer: Sarah needs 130 centimeters of decorative border.

QUESTION 7: FINDING THE LENGTH WHEN PERIMETER IS GIVEN

Problem: A rectangle has a perimeter of 60 meters and a width of 12 meters. Find the length of the rectangle.

Solution:

We know that Perimeter = 2l + 2w

Here, Perimeter = 60 m and w = 12 m

60 = 2l + 2 × 12

60 = 2l + 24

60 - 24 = 2l

36 = 2l

l = 36 ÷ 2

l = 18 m

Answer: The length of the rectangle is 18 meters.

QUESTION 8: COMPARING PERIMETERS

Problem: Rectangle A has length 10 centimeters and width 6 centimeters. Rectangle B has length 9 centimeters and width 7 centimeters. Which rectangle has a greater perimeter?

Solution:

For Rectangle A:

Perimeter = 2l + 2w = 2 × 10 + 2 × 6 = 20 + 12 = 32 cm

For Rectangle B:

Perimeter = 2l + 2w = 2 × 9 + 2 × 7 = 18 + 14 = 32 cm

Answer: Both rectangles have the same perimeter of 32 centimeters.

QUESTION 9: WORD PROBLEM - FRAMING A PICTURE

Problem: A rectangular picture frame has dimensions 50 centimeters by 35 centimeters. How much molding is needed to go around the frame?

Solution:

To find how much molding is needed, we need to find the perimeter of the frame.

Perimeter = 2(l + w)

Here, l = 50 cm and w = 35 cm

Perimeter = 2(50 + 35)

Perimeter = 2 × 85

Perimeter = 170 cm

Answer: 170 centimeters of molding is needed for the frame.

QUESTION 10: MIXED UNITS PROBLEM

Problem: A rectangle has a length of 2 meters and a width of 150 centimeters. Find the perimeter.

Solution:

First, we need to convert both measurements to the same unit.

Length = 2 meters = 200 centimeters

Width = 150 centimeters

Now we can find the perimeter:

Perimeter = 2l + 2w

Perimeter = 2 × 200 + 2 × 150

Perimeter = 400 + 300

Perimeter = 700 cm

Or we can express this as 7 meters.

Answer: The perimeter of the rectangle is 700 centimeters or 7 meters.

Practice Questions On Perimeter Of A Rectangle For Class 5

Find the perimeter of the following rectangles:

1. A rectangle has a length of 9 centimeters and a width of 5 centimeters. Find the perimeter.

2. A rectangle has a length of 14 meters and a width of 8 meters. What is the perimeter?

3. Find the perimeter of a rectangle with length 11 centimeters and width 6 centimeters.

4. A rectangle has dimensions 20 meters by 15 meters. Calculate the perimeter.

5. Find the perimeter of a rectangle with length 7 centimeters and width 4 centimeters.

6. Raj has a rectangular garden that is 25 meters long and 15 meters wide. He wants to build a fence around the garden. How much fencing does he need?

7. A rectangular swimming pool is 30 meters long and 20 meters wide. How much distance does a swimmer cover when swimming around the edge of the pool once?

8. A piece of paper is 28 centimeters long and 21 centimeters wide. What is the perimeter of the paper?

9. A rectangular room is 12 feet long and 9 feet wide. How much baseboard trim is needed to go around all the walls of the room?

10. Priya wants to put a frame around a rectangular picture. The picture is 40 centimeters long and 30 centimeters wide. How much frame material does she need?

11. A rectangle has a perimeter of 50 centimeters and a length of 15 centimeters. Find the width.

12. A rectangle has a perimeter of 64 meters and a width of 12 meters. Find the length.

13. If a rectangle has a perimeter of 36 centimeters and a length of 10 centimeters, what is the width?

14. A rectangle has a perimeter of 80 meters and a width of 18 meters. Calculate the length.

15. The perimeter of a rectangle is 48 centimeters. If the length is 14 centimeters, find the width.

16. Two rectangles have the same perimeter of 40 centimeters. Rectangle A has a length of 12 centimeters. Rectangle B has a length of 15 centimeters. Which has the greater width?

17. A rectangular table is 1.5 meters long and 1 meter wide. How much trim is needed to go around the edge of the table?

18. A rectangle has a length that is twice its width. If the width is 8 centimeters, find the perimeter.

19. A rectangular field has a perimeter of 120 meters. If the length is 40 meters, what is the width?

20. A picture frame is 60 centimeters long and 45 centimeters wide. What is the perimeter of the frame?

21. Rectangle A is 12 cm by 8 cm. Rectangle B is 10 cm by 10 cm. Which has the greater perimeter?

22. A rectangle has a length of 25 centimeters and a width of 10 centimeters. Another rectangle has a length of 20 centimeters and a width of 15 centimeters. Do they have the same perimeter?

23. Find the perimeter of a rectangle with length 9.5 meters and width 6.5 meters.

24. A rectangular garden is 35 meters long and 25 meters wide. How much fencing material is needed to enclose the garden?

25. A rectangle has length 18 centimeters and width 12 centimeters. Another rectangle has length 20 centimeters and width 10 centimeters. Which rectangle has a greater perimeter?

Perimeter of a Rectangle Worksheet for Class 5

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