CBSE Class 6 Maths Chapter 6: Perimeter and Area — Assertion & Reason
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The following Assertion and Reason questions are based on Chapter 6: Perimeter and Area from the NCERT Class 6 Mathematics textbook. Each question has four options - read both the Assertion (A) and Reason (R) carefully before selecting your answer.
How to attempt Assertion & Reason questions:
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is NOT the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is NOT the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Assertion & Reason Questions
1
Assertion (A): Perimeter is the distance around a closed figure.
Reason (R): For a polygon it equals the sum of all side lengths.
Reason (R): For a polygon it equals the sum of all side lengths.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Adding boundary lengths gives the distance around.
2
Assertion (A): Perimeter is the distance around a closed figure.
Reason (R): Area is measured in square units.
Reason (R): Area is measured in square units.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
3
Assertion (A): Perimeter is the distance around a closed figure.
Reason (R): Perimeter counts the unit squares inside a region.
Reason (R): Perimeter counts the unit squares inside a region.
Answer: (c)
A is true, but R is false. Unit-square coverage measures area, not perimeter.
4
Assertion (A): Perimeter measures only the interior surface.
Reason (R): For a polygon it equals the sum of all side lengths.
Reason (R): For a polygon it equals the sum of all side lengths.
Answer: (d)
A is false, but R is true. Perimeter concerns the boundary.
5
Assertion (A): The perimeter of a rectangle is 2(l+b).
Reason (R): Opposite sides of a rectangle have equal lengths.
Reason (R): Opposite sides of a rectangle have equal lengths.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Two lengths and two breadths give the formula.
6
Assertion (A): The perimeter of a rectangle is 2(l+b).
Reason (R): The area of a rectangle is lb.
Reason (R): The area of a rectangle is lb.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
7
Assertion (A): The perimeter of a rectangle is 2(l+b).
Reason (R): The perimeter is l+b.
Reason (R): The perimeter is l+b.
Answer: (c)
A is true, but R is false. All four sides must be counted.
8
Assertion (A): A 5 by 3 rectangle has perimeter 15.
Reason (R): Opposite sides of a rectangle have equal lengths.
Reason (R): Opposite sides of a rectangle have equal lengths.
Answer: (d)
A is false, but R is true. Its perimeter is 16.
9
Assertion (A): The perimeter of a square of side s is 4s.
Reason (R): All four sides of a square have length s.
Reason (R): All four sides of a square have length s.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Adding four equal sides gives 4s.
10
Assertion (A): The perimeter of a square of side s is 4s.
Reason (R): A square has four right angles.
Reason (R): A square has four right angles.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
11
Assertion (A): The perimeter of a square of side s is 4s.
Reason (R): Its perimeter is s squared.
Reason (R): Its perimeter is s squared.
Answer: (c)
A is true, but R is false. s squared is area, not perimeter.
12
Assertion (A): A square of side 6 has perimeter 12.
Reason (R): All four sides of a square have length s.
Reason (R): All four sides of a square have length s.
Answer: (d)
A is false, but R is true. The perimeter is 24.
13
Assertion (A): The area of a rectangle is length times breadth.
Reason (R): A rectangular array contains that many unit-square rows and columns.
Reason (R): A rectangular array contains that many unit-square rows and columns.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The unit-square array explains multiplication.
14
Assertion (A): The area of a rectangle is length times breadth.
Reason (R): Rectangles have opposite sides equal.
Reason (R): Rectangles have opposite sides equal.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
15
Assertion (A): The area of a rectangle is length times breadth.
Reason (R): Area is found by adding length and breadth.
Reason (R): Area is found by adding length and breadth.
Answer: (c)
A is true, but R is false. Addition gives neither area nor correct units.
16
Assertion (A): A 7 by 4 rectangle has area 11.
Reason (R): A rectangular array contains that many unit-square rows and columns.
Reason (R): A rectangular array contains that many unit-square rows and columns.
Answer: (d)
A is false, but R is true. Its area is 28.
17
Assertion (A): A triangle with base b and height h has area one-half bh.
Reason (R): Two congruent copies can form a parallelogram of area bh.
Reason (R): Two congruent copies can form a parallelogram of area bh.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. One triangle is half the paired parallelogram.
18
Assertion (A): A triangle with base b and height h has area one-half bh.
Reason (R): Triangle perimeter is the sum of its sides.
Reason (R): Triangle perimeter is the sum of its sides.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
19
Assertion (A): A triangle with base b and height h has area one-half bh.
Reason (R): The sloping side always equals the height.
Reason (R): The sloping side always equals the height.
Answer: (c)
A is true, but R is false. Height must be perpendicular to the base.
20
Assertion (A): A triangle of base 8 and height 5 has area 40.
Reason (R): Two congruent copies can form a parallelogram of area bh.
Reason (R): Two congruent copies can form a parallelogram of area bh.
Answer: (d)
A is false, but R is true. Its area is 20.
❓ Frequently Asked Questions
What is covered in CBSE Class 6 Maths Chapter 6 Perimeter and Area?
This chapter covers all key topics from Perimeter and Area as per CBSE 2026-27 syllabus.
Is this Assertion & Reason useful for CBSE board exams?
Yes, designed for CBSE Class 6 board exam preparation covering the complete syllabus.
Are these CBSE Class 6 Maths Assertion & Reason updated for 2026-27?
Yes, all content at eBookPublisher is updated as per the latest 2026-27 CBSE syllabus.
How many chapters are in CBSE Class 6 Maths?
All chapters of CBSE Class 6 Maths are covered at eBookPublisher with free Assertion & Reason for each chapter.
Can I study Perimeter and Area online for free?
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