NCERT Class 5 Mathematics Math-Mela: Chapter 11 — 11
This chapter, 'Quilt,' from NCERT's Class 5 Mathematics Math-Mela textbook, introduces the concepts of perimeter and area. It begins with a practical example of decorating a quilt cover with lace, prompting students to calculate the perimeter of the quilt. The chapter then revisits the definition of perimeter as the length of the border of a shape and includes exercises to find the perimeter of various shapes and draw rectangles with given perimeters. Subsequently, the focus shifts to area, using the example of a rug made of square patches. Students explore how different shapes like triangles, circles, squares, and rectangles can cover a surface. The concept of tiling (covering without gaps or overlaps) is introduced, and students are asked to determine which shapes tile effectively. The chapter concludes with exercises to measure the area of tables using different units like triangles, squares, and rectangles, and to investigate tiling with everyday objects like notebooks and textbooks. This chapter helps students understand and apply the fundamental concepts of perimeter and area in real-world contexts, crucial for CBSE mathematics learning.
Quick info
| Board | CBSE / NCERT |
|---|---|
| Class | Class 5 |
| Subject | Mathematics |
| Book | Math-Mela |
| Chapter | Chapter 11 — 11 |
| Language | English |
| PDF type | NCERT Textbook |
| Session | CBSE 2026 |
| Reading time | 3 minutes |
| Word count | 428 |
Learning outcomes
- Understand and calculate the perimeter of simple shapes.
- Differentiate between perimeter and area.
- Identify shapes that can tile a surface without gaps or overlaps.
- Measure the area of a region using different tiling units.
- Apply the concepts of perimeter and area to real-world problems.
Vocabulary
| Word | Meaning |
|---|---|
| Quilt | A bed covering made of two layers of cloth filled with padding and stitched together in patterns. |
| Lace | A delicate fabric made of threads, often used for decoration. |
| Border | The outer edge or boundary of something. |
| Perimeter | The continuous line forming the boundary of a closed geometric figure; the length of this line. |
| Rug | A floor covering of thick woven material. |
| Patches | Small pieces of material sewn or stuck onto something to cover a hole or mend a tear. |
| Triangles | A polygon with three edges and three vertices. |
| Circles | A round plane figure whose boundary (the circumference) consists of points equidistant from the centre. |
| Squares | A plane figure with four equal straight sides and four right angles. |
| Rectangles | A plane figure with four straight sides and four right angles, especially one with unequal adjacent sides. |
| Gaps | An empty space or interval. |
| Overlaps | Extend over so as to cover a part of. |
| Area | The extent or measurement of a surface or piece of land. |
| Tiling | To cover a surface with tiles or similar objects, fitting them closely together without gaps or overlaps. |
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Practice questions
- What is the perimeter of a square with a side length of 7 cm? Answer: 28 cm
- If a rectangle has a length of 10 cm and a width of 5 cm, what is its perimeter? Answer: 30 cm
- Which shapes can tile a surface without leaving gaps? Answer: Squares, rectangles, and triangles (under certain conditions).
- If a table is covered with 15 square units, what is its area? Answer: 15 square units
Frequently asked questions
What is the perimeter of a shape?
The perimeter is the length of the border or the boundary of a closed geometric figure.
What is the difference between perimeter and area?
Perimeter is the length around a shape, while area is the space covered by the shape.
What does it mean for shapes to 'tile' a surface?
Tiling means covering a surface completely with shapes without any gaps or overlaps.
Which shapes are mentioned as being able to tile a table without gaps?
Triangles, squares, and rectangles are mentioned as shapes that can tile a table without gaps.
Can circles tile a surface without gaps?
The text suggests that circles do not tile a surface without gaps.
How can we measure the area of a region?
We can measure the area of a region by filling it with shapes like squares, rectangles, or triangles that tile the region.
Related resources
Important topics
Topics covered
NCERT Class 5 Mathematics — Math-Mela — Chapter 11 — 11. Verified by NCERT Help Editorial Team. Reviewed on 29 Jul 2026. Last updated 10 Aug 2026.