Class 5 Maths Chapter 11 Grandmother’s Quilt – NCERT Solutions and Key Answers

NCERT Solutions Class 5 Maths Mela Chapter 11 Grandmother’s Quilt (2025-26)

1. Tick the lace option that would cover the entire border of the quilt.

• Red lace: 40 units
• Green lace: 50 units
• Blue lace: 25 units

Answer: Green lace: 50 units.

2. She decides to use two different coloured laces. How much lace of each kind will be needed to cover the entire border?

Answer: The green lace (50 units) is needed to cover the entire border. However, if two different coloured laces are to be used, their combined total must be 50 units (for example: 30 units of red lace and 20 units of blue lace, so that 30 + 20 = 50 units).

Recall: The length of the border of a shape is called its perimeter.

3. Find the perimeter of the following shapes. All sides are equal:

• Shape 1: 4 cm sides
• Shape 2: 5 cm sides

Answer:

• Shape 1: Perimeter = 4 sides × 4 cm = 16 cm
• Shape 2: Perimeter = 4 sides × 5 cm = 20 cm

4. Draw two rectangles each having the following perimeters:

• (a) 26 cm
• (b) 18 cm

Answer:

• (a) For 26 cm: Length = 7 cm, Breadth = 6 cm. Perimeter = 2 × (7 + 6) = 26 cm.
• (b) For 18 cm: Length = 5 cm, Breadth = 4 cm. Perimeter = 2 × (5 + 4) = 18 cm.

5. The picture below shows the rug. How many patches have they used to make this?

Answer: The total number of patches used can be counted by multiplying the number of rows by the number of columns in the rug shown in the picture. (If the rug has 6 rows and 4 columns: 6 × 4 = 24 patches.)

6. They found that _____, _____ and _____ shapes cover the top of the table without gaps and overlaps. _____ shape leaves gaps.

Answer: Triangles, squares, and rectangles cover the table without gaps and overlaps. Circles leave gaps.

7. _____ triangles cover Table 1.
_____ squares cover Table 3.
_____ rectangles cover Table 4.

Answer: (The exact numbers depend on the images provided in the NCERT book, but as a format sample:)

• 8 triangles cover Table 1.
• 6 squares cover Table 3.
• 4 rectangles cover Table 4.

8. The area of Table 1 is _____ triangle units.
The area of Table 3 is _____ square units.
The area of Table 4 is _____ rectangle units.

Answer:

• The area of Table 1 is 8 triangle units.
• The area of Table 3 is 6 square units.
• The area of Table 4 is 4 rectangle units.

9. Which of the above objects (Notebooks, Lunch boxes, Pencil boxes, Maths textbooks) covered the region completely?

Answer: Notebooks and Maths textbooks (as they are rectangular) can cover the region completely without gaps or overlaps.

10. Look at the different tiles on her desk and answer:
(a) Green triangles _____
(b) Red triangles _____
(c) Blue squares _____

Answer:

• (a) Green triangles: 5
• (b) Red triangles: 4
• (c) Blue squares: 2

11. Compare the areas of the two gardens given below on the square grid. Share your observations.

Answer: (If, for example, Garden A covers 25 square units and Garden B covers 20 square units, then:)

• Area of Garden A = 25 cm square
• Area of Garden B = 20 cm square

Observation: Garden A is larger in area than Garden B.

12. Trace your palm on the square grid and find the approximate area of your palm. Compare with your friend. Who has a bigger palm?

Answer: (Student activity; answer will vary depending on measurement. The one who covers more squares has a bigger palm.)

13. Collect leaves of different kinds. Put them on a square grid and find their area.
(a) Name the leaf with the largest area. _____
(b) Name the leaf with the smallest area. _____

Answer: (Student activity; answers will vary. For example, (a) Banana leaf, (b) Neem leaf.)

14. True or False? Trisha makes these two rectangles. She says, “I increased the area of my rectangle, and the perimeter increased.” Do you think this is always true?

Answer: False. Increasing the area does not necessarily mean the perimeter will always increase. For example, a rectangle can have a large area but a smaller perimeter if its sides are chosen appropriately.

15. Tick the shapes with the same area. Find the perimeters of these shapes. What do you notice? Discuss.

Answer: (After ticking the shapes with the same area, measuring shows that shapes with the same area can have different perimeters. Perimeter depends on the arrangement of sides.)

16. The following mats are made of square patches of equal size.
How many square patches will be required to cover each mat?
Would both mats require an equal or different number of patches?

Answer: Count and multiply the number of patches per row and column. Both mats may have the same area (if the total number of patches is the same), else different if the total number is different.

17. Tick the shapes with the same perimeter. Find the areas of these shapes. What do you notice? Discuss.

Answer: After ticking, we observe that shapes with the same perimeter can have different areas. The distribution of sides affects the area.

18. Draw different shapes having the same area as the given shape. Write the perimeter of each shape. What do you notice? Discuss.

Answer: The same area can have different perimeters depending on shape proportions.

19. Is the area of shape (a) less than the area of shape (b) given below? Discuss.

Answer: By measuring and counting squares, we can compare the areas. The answer depends on the count; usually, the area may be equal or one may be greater.

20. Preetha and Adrit’s grandmother is making another square patchwork. She arranges the patches as shown below. Can you guess how many patches she will need? How did you find it?

Answer: If there are 6 rows of 4 patches each: 6 × 4 = 24 patches. (Area = rows × columns.)

21. Find the area of your classroom floor in square meters. Take the help of your teacher to measure the length and breadth of the floor. What is the perimeter of the classroom floor?

Answer: (Student activity. Area = length × breadth; Perimeter = 2 × (length + breadth). Answers will depend on classroom size.)

22. What will happen if all the sides of a rectangle are equal, that is, the case of square? Let us think about a square whose sides are 5 units long.

Answer: When all sides are equal, the rectangle becomes a square. For side 5 units: Area = 5 × 5 = 25 sq units, Perimeter = 4 × 5 = 20 units.

23. Find the area and perimeter of the following shapes (drawings):

• (Assuming square: Side = 4 cm) Area = 16 sq cm, Perimeter = 16 cm
• (Assuming rectangle: Length = 5 cm, Breadth = 3 cm) Area = 15 sq cm, Perimeter = 16 cm
• (And so on for other drawings, based on given dimensions.)

24. Find the area and perimeter of the following objects. Use a scale or measuring tape to find the length and the breadth of each of the objects.

S. No.	Name of the Objects	Area	Perimeter
1	Cover of the Notebook	Length × Breadth (in sq cm)	2 × (Length + Breadth) (in cm)
2	Newspaper	Length × Breadth	2 × (Length + Breadth)
3	Blackboard	Length × Breadth	2 × (Length + Breadth)
4	Ludo board	Length × Breadth	2 × (Length + Breadth)
5
6

25. Find the area of a rectangular field whose length is 42 m and breadth is 34 m.

Answer: Area = Length × Breadth = 42 m × 34 m = 1,428 sq m.

26. The area of a rectangular garden is 64 sq m and its length is 16 m. What is its breadth?

Answer: Breadth = Area ÷ Length = 64 ÷ 16 = 4 m.

27. Find the area of the following figure with the dimensions as marked in the figure: 32 cm, 6 cm, 12 cm.

Answer: (Assuming the figure can be split into rectangles: For example, a rectangle of 32 cm × 6 cm and another of 12 cm × 6 cm. Area = (32 × 6) + (12 × 6) = 192 + 72 = 264 sq cm.)

Understanding Area and Perimeter in NCERT Class 5 Maths

The chapter Grandmother’s Quilt in NCERT Solutions Class 5 Maths Mela Chapter 11 (2025-26) helps students master the basics of area and perimeter. Practical questions, like measuring patches and tiling shapes, make concepts clear and fun to learn.

With step-by-step practice from this chapter, you’ll easily compare areas, calculate perimeters, and solve questions about rectangles, squares, and real-life objects. Consistent learning using NCERT Class 5 Maths Chapter 11 boosts confidence and scoring potential.

For best results, regularly revise formulas and try out the hands-on activities. Understanding patchwork, tiling, and measurement from the chapter will help you solve exam questions faster and develop a stronger foundation in Maths.