Class 6 Maths Chapter 6 MCQ

NCERT CLASS 6 | MATHEMATICS | GANITA PRAKASH

Chapter 6: Perimeter and Area MCQs

1. What is the perimeter of a closed plane figure?
A. The region enclosed by the figure
B. The distance covered along its boundary once
C. The number of sides in the figure
D. The space outside the figure
Answer: B. The distance covered along its boundary once

2. How is the perimeter of a polygon calculated?
A. By multiplying all its sides
B. By adding the lengths of all its sides
C. By adding its angles
D. By multiplying its length and breadth
Answer: B. By adding the lengths of all its sides

3. What is the formula for the perimeter of a rectangle?
A. Length × Breadth
B. 4 × Length
C. 2 × (Length + Breadth)
D. Length + Breadth
Answer: C. 2 × (Length + Breadth)

4. A rectangle has a length of 12 cm and a breadth of 8 cm. What is its perimeter?
A. 20 cm
B. 32 cm
C. 40 cm
D. 96 cm
Answer: C. 40 cm

5. Which sides of a rectangle are always equal?
A. All four sides
B. Only adjacent sides
C. Opposite sides
D. No sides
Answer: C. Opposite sides

6. What is the formula for the perimeter of a square?
A. 2 × Side
B. 3 × Side
C. 4 × Side
D. Side × Side
Answer: C. 4 × Side

7. A square has a side length of 5 cm. What is its perimeter?
A. 10 cm
B. 15 cm
C. 20 cm
D. 25 cm
Answer: C. 20 cm



8. A triangle has sides of lengths 4 cm, 5 cm and 7 cm. Find its perimeter.
A. 12 cm
B. 14 cm
C. 16 cm
D. 18 cm
Answer: C. 16 cm

9. What is the formula for the perimeter of a triangle?
A. Sum of the lengths of its three sides
B. Length × Breadth
C. 3 × Length
D. 2 × (Length + Breadth)
Answer: A. Sum of the lengths of its three sides

10. A rectangular tablecloth is 3 m long and 2 m wide. How much lace is needed to cover its boundary?
A. 5 m
B. 8 m
C. 10 m
D. 12 m
Answer: C. 10 m

11. Usha takes three rounds of a square park having a side of 75 m. What total distance does she travel?
A. 300 m
B. 600 m
C. 750 m
D. 900 m
Answer: D. 900 m



12. A rectangle has a perimeter of 14 cm and a breadth of 2 cm. What is its length?
A. 3 cm
B. 5 cm
C. 7 cm
D. 10 cm
Answer: B. 5 cm

13. A square has a perimeter of 20 cm. What is the length of each side?
A. 4 cm
B. 5 cm
C. 6 cm
D. 10 cm
Answer: B. 5 cm

14. A rectangle has a perimeter of 12 m and a length of 3 m. Find its breadth.
A. 2 m
B. 3 m
C. 4 m
D. 6 m
Answer: B. 3 m

15. A rectangular field is 150 m long and 120 m wide. What is its perimeter?
A. 270 m
B. 420 m
C. 540 m
D. 600 m
Answer: C. 540 m



16. If fencing costs ₹40 per metre, what is the cost of fencing a rectangular park with a perimeter of 540 m?
A. ₹10,800
B. ₹16,000
C. ₹20,000
D. ₹21,600
Answer: D. ₹21,600

17. A string of length 36 cm is used to form a square. What is the length of each side?
A. 6 cm
B. 8 cm
C. 9 cm
D. 12 cm
Answer: C. 9 cm

18. A string of length 36 cm is used to form an equilateral triangle. What is the length of each side?
A. 6 cm
B. 9 cm
C. 12 cm
D. 18 cm
Answer: C. 12 cm

19. A farmer has a rectangular field of length 230 m and breadth 160 m. How much rope is needed to fence it with three rounds?
A. 780 m
B. 1,560 m
C. 2,340 m
D. 3,120 m
Answer: C. 2,340 m

20. What is the perimeter of a regular polygon?
A. The sum of its angles
B. The sum of the lengths of all its sides
C. The area enclosed by it
D. The length of only one side
Answer: B. The sum of the lengths of all its sides

21. What is a regular polygon?
A. A closed figure with all sides equal only
B. A closed figure with all angles equal only
C. A closed figure with all sides and all angles equal
D. Any figure with three sides
Answer: C. A closed figure with all sides and all angles equal

22. Which of the following is an example of a regular polygon?
A. A rectangle with unequal adjacent sides
B. An equilateral triangle
C. An irregular pentagon
D. An open figure
Answer: B. An equilateral triangle

23. What is the formula for the perimeter of an equilateral triangle?
A. 2 × Side
B. 3 × Side
C. 4 × Side
D. Side × Side
Answer: B. 3 × Side

24. A diagonal line on a square grid is called what in the chapter’s measurement activity?
A. Curved line
B. Straight line
C. Diagonal line
D. Parallel line
Answer: C. Diagonal line

25. What is the perimeter of the triangle shown in the chapter’s grid activity, expressed in straight and diagonal units?
A. 3s + 6d units
B. 6s + 3d units
C. 9s + 3d units
D. 6s + 6d units
Answer: B. 6s + 3d units

26. What is the area of a closed figure?
A. The distance around its boundary
B. The amount of region enclosed by it
C. The number of corners it has
D. The length of its longest side
Answer: B. The amount of region enclosed by it

27. In which units is area generally measured?
A. Linear units
B. Square units
C. Kilograms
D. Litres
Answer: B. Square units

28. What is the formula for the area of a rectangle?
A. Length + Breadth
B. 2 × (Length + Breadth)
C. Length × Breadth
D. 4 × Length
Answer: C. Length × Breadth

29. What is the formula for the area of a square?
A. 4 × Side
B. Side × Side
C. 2 × Side
D. Side + Side
Answer: B. Side × Side

30. A floor is 5 m long and 4 m wide. What is its area?
A. 9 sq m
B. 18 sq m
C. 20 sq m
D. 25 sq m
Answer: C. 20 sq m

31. A square carpet of side 3 m is placed on a floor measuring 5 m × 4 m. What area of the floor remains uncovered?
A. 9 sq m
B. 10 sq m
C. 11 sq m
D. 20 sq m
Answer: C. 11 sq m

32. A rectangular piece of land is 12 m long and 10 m wide. What is its total area?
A. 22 sq m
B. 44 sq m
C. 100 sq m
D. 120 sq m
Answer: D. 120 sq m

33. Four square flower beds, each with a side of 4 m, are placed in the corners of a 12 m × 10 m piece of land. What is the area of the remaining land?
A. 40 sq m
B. 48 sq m
C. 56 sq m
D. 64 sq m
Answer: C. 56 sq m

34. A rectangular garden has an area of 300 sq m and a length of 25 m. What is its width?
A. 10 m
B. 12 m
C. 15 m
D. 20 m
Answer: B. 12 m

35. A rectangular coconut grove is 100 m long and 50 m wide. If each coconut tree requires 25 sq m, how many trees can be planted?
A. 100
B. 150
C. 200
D. 250
Answer: C. 200

36. Which method can be used to find the area of an irregular figure?
A. Counting its corners
B. Dividing it into rectangles and triangles
C. Measuring only its longest side
D. Adding its angles
Answer: B. Dividing it into rectangles and triangles

37. What is the area of one full small square on graph paper if each square measures 1 unit × 1 unit?
A. 1 unit
B. 2 square units
C. 1 square unit
D. 4 square units
Answer: C. 1 square unit

38. According to the chapter’s conventions for estimating area on squared paper, what should be done with portions smaller than half a square?
A. Count each as one full square
B. Ignore them
C. Count each as two squares
D. Multiply them by two
Answer: B. Ignore them

39. If more than half of a small square is covered by a figure, how should it be counted?
A. As half a square unit
B. As one square unit
C. As two square units
D. It should be ignored
Answer: B. As one square unit

40. If exactly half of a small square is covered, what area should be counted?
A. 1 square unit
B. 2 square units
C. Half a square unit
D. Zero square units
Answer: C. Half a square unit

41. Why are squares generally used to measure area?
A. They can be packed without gaps or overlaps
B. They have curved boundaries
C. They are always larger than circles
D. They have no sides
Answer: A. They can be packed without gaps or overlaps

42. What difficulty arises when circles are used as units to measure area?
A. Circles have too many sides
B. Circles cannot be packed tightly without gaps
C. Circles have no area
D. Circles are always equal in size
Answer: B. Circles cannot be packed tightly without gaps

43. What happens when a rectangle is cut along one of its diagonals?
A. It forms two triangles with equal areas
B. It forms two rectangles
C. It forms four squares
D. It forms two triangles of unequal areas
Answer: A. It forms two triangles with equal areas

44. What is the relationship between the area of a triangle formed by a diagonal of a rectangle and the area of the rectangle?
A. The triangle has twice the area
B. The triangle has half the area
C. Both have the same area
D. The triangle has three times the area
Answer: B. The triangle has half the area

45. What is the area of a triangle in terms of its base and corresponding height?
A. Base × Height
B. 2 × Base × Height
C. 1/2 × Base × Height
D. Base + Height
Answer: C. 1/2 × Base × Height

46. Can two closed figures have the same area but different perimeters?
A. Yes
B. No
C. Only squares can do this
D. Only triangles can do this
Answer: A. Yes

47. Can two closed figures have the same perimeter but different areas?
A. No
B. Yes
C. Only rectangles can do this
D. Only regular polygons can do this
Answer: B. Yes

48. In the chapter’s activity, what is the area of nine unit squares arranged together?
A. 6 square units
B. 8 square units
C. 9 square units
D. 18 square units
Answer: C. 9 square units

49. According to the chapter’s example, what is the perimeter of a 3 × 3 square made using nine unit squares?
A. 9 units
B. 12 units
C. 18 units
D. 20 units
Answer: B. 12 units

50. Which statement about area and perimeter is correct?
A. Figures with the same area must have the same perimeter
B. Figures with the same perimeter must have the same area
C. Figures can have the same area but different perimeters
D. Area and perimeter always have the same numerical value
Answer: C. Figures can have the same area but different perimeters

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Satyam Kharwar is a teacher and the owner of NotesWave.in, providing simple, NCERT-aligned study materials for Classes 6–12.

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