Class 6 Mathematics Chapter 6 Perimeter and Area

Dear User,

To attempt the free quiz, you are requested to first register on the portal if you are not registered yet. After successful registration, please login using your created username and password.

If you are already registered, please login by entering your username and password.

If you are not registered yet, kindly register first using the registration link given below:

Click here to register: https://yourlearningbuddy.com/registration/

By attempting the quiz, you will be able to analyze your performance and identify your learning gaps for better preparation and improvement.

I. Chapter Summary:

This chapter introduces the concepts of perimeter and area of simple geometric shapes. Students learn how to calculate the perimeter of polygons by adding the lengths of their sides. The chapter also explains the concept of area as the amount of surface covered by a shape and demonstrates methods to calculate the area of rectangles and squares using formulas. Through practical examples and activities, students develop spatial understanding and problem-solving skills related to measurement.

II. Key Concepts Covered:

Perimeter: The total length of the boundary of a two-dimensional shape.
Units of Measurement: Standard units like centimeters (cm), meters (m), and millimeters (mm) for length and area.
Calculating Perimeter: Adding all the sides of polygons such as squares, rectangles, and triangles.
Area: The amount of space enclosed within a shape.
Area of Rectangle and Square: Using the formulas $rectangle=length×breadth\text{Area of rectangle} = \text{length} \times \text{breadth}$ and $square=side2\text{Area of square} = \text{side}^2$ .
Relation Between Perimeter and Area: Understanding that shapes with the same perimeter can have different areas.
Practical Applications: Measurement of rooms, gardens, and fencing.

III. Important Questions:

(A) Multiple Choice Questions (1 Mark):

What is the perimeter of a rectangle with length 5 cm and breadth 3 cm?
a) 15 cm
b) 16 cm
c) 8 cm
d) 30 cm
Answer: b) 16 cm
(PYQ 2022)
The area of a square whose side is 4 m is:
a) 8 m²
b) 16 m²
c) 12 m²
d) 20 m²
Answer: b) 16 m²
(PYQ 2021)
Which of these units is used to measure area?
a) cm
b) m
c) m²
d) cm³
Answer: c) m²
Perimeter is the total ______ of a shape.
a) area
b) volume
c) length of boundary
d) none of these
Answer: c) length of boundary

(B) Short Answer Questions (2/3 Marks):

Define perimeter with an example.
How do you calculate the area of a rectangle?
Find the perimeter of a square whose side is 7 cm.
What is the difference between perimeter and area?

(C) Long Answer Questions (5 Marks):

Calculate the perimeter and area of a rectangle with length 10 m and breadth 5 m.
Explain why two different shapes can have the same perimeter but different areas.
A garden is 12 m long and 8 m wide. Find the cost of fencing it at Rs. 25 per meter.
Draw a square of side 6 cm and find its perimeter and area.

(D) HOTS (Higher Order Thinking Skills) Questions:

If the perimeter of a square is 48 m, what is its area? Show your calculation.
A rectangular playground has a length twice its breadth. If its perimeter is 60 m, find its length, breadth, and area.

IV. Key Formulas/Concepts:

Perimeter of rectangle: $P = 2 (l + b)$
Perimeter of square: $\times\text{side}$
Area of rectangle: $\times \b$
Area of square: $\text{side}^2$
Units:
- Length in cm, m, mm
- Area in $cm^2$ , $m^2$ , $mm^2$

V. Deleted Portions (CBSE 2025–2026):

No portions have been deleted from this chapter as per the rationalized NCERT textbooks.

VI. Chapter-Wise Marks Bifurcation (Estimated – CBSE 2025–2026):

Unit/Chapter	Estimated Marks	Type of Questions Typically Asked
Perimeter and Area	8 – 10	MCQs, Short Answer, Long Answer, HOTS

VII. Previous Year Questions (PYQs):

2022: MCQ on perimeter of rectangle (1 mark)
2021: Short answer on area of square (2 marks)
2020: Long answer on perimeter and area calculation (5 marks)
2019: HOTS question on perimeter and area relationship (3 marks)

VIII. Real-World Application Examples to Connect with Topics:

Calculating the amount of fencing required to enclose a garden or playground.
Determining the area of walls to be painted or floors to be tiled.
Using perimeter in designing sports fields and parks.
Area measurement in agriculture for crop planning.

IX. Student Tips & Strategies for Success (Class-Specific):

Practice memorizing formulas for perimeter and area for quick recall.
Solve various problems on rectangles and squares to build confidence.
Draw diagrams to visualize the problem before calculation.
Use previous year question papers for exam preparation.

X. Career Guidance & Exploration (Class-Specific):

For Classes 9–10:
- Understanding perimeter and area is essential for streams in Science, Commerce, and Arts.
- Skills applied in architecture, civil engineering, interior designing, and urban planning.
For Classes 11–12:
- Further geometry and measurement knowledge needed for engineering and architecture entrance exams like JEE and NATA.
- Fields like landscape design, construction, and surveying rely on these concepts.

XI. Important Notes:

Always verify the latest syllabus updates on the official CBSE website.
Emphasize understanding the difference between perimeter and area conceptually.
Regular practice and application of formulas enhance problem-solving speed and accuracy.