NCERT Solutions for Class 5th Maths Chapter 11 Grandmother's Quilt
Updated on 2026-09-19
About this chapter
Perimeter is the ribbon; area is the cloth. Perimeter is the length of the border, all the way round a shape. Area is how much surface the shape covers. Grandmother needs lace for the border of her quilt — that is perimeter. She needs cloth patches to fill the quilt — that is area. If you ever mix the two up, ask yourself: am I going round the outside, or filling up the inside? Perimeter is found by adding all the sides. A five-sided shape with every side 4 cm has a perimeter of 4 + 4 + 4 + 4 + 4 = 20 cm. When the sides are all equal you can multiply instead: number of sides × length of one side. Area is found by covering with tiles and counting them. Triangles, squares and rectangles cover a table top with no gaps and no overlaps — we say they tile . Circles do not: little empty corners a
- Grandmother's quilt cover and the three reels of lace
- Preetha's desk: how many of each tile would cover it
- Rectangles A, B and C
- Two gardens on a grid, your palm, leaves, and the two mats
- Does a bigger area always mean a bigger perimeter?
- Grandmother's square patchwork: Area = Length × Breadth
- The tile-and-die game: build up to a perimeter of 24 and win
Quick revision
| Word | What it means | Where it appears | Example |
|---|---|---|---|
| Perimeter | The length of the border, all the way round a shape | Page 142, the lace on the quilt | A 6 cm by 4 cm rectangle has a perimeter of 20 cm |
| Area | How much surface a shape covers | Page 143, the four table tops | A 6 cm by 4 cm rectangle has an area of 24 square cm |
| Tile (to tile) | To cover a region with shapes, leaving no gaps and no overlaps | Page 143 | Squares tile a floor; circles do not |
| Unit square | One small square of the grid, used for measuring area | Page 145 | A square of side 1 cm has an area of 1 square cm |
| Square grid | A sheet ruled into equal squares, used to measure area | Page 145 | Garden A covers 10 squares, so its area is 10 square cm |
| Length | The longer side of a rectangle | Page 150, the patchwork | Length of the patchwork = 6 cm |
| Breadth | The shorter side of a rectangle (the book calls it the non-equal side) | Page 150 | Breadth of the patchwork = 4 cm |
| Area of a rectangle | Length × Breadth | Page 150 | 6 cm × 4 cm = 24 square cm |
| Perimeter of a rectangle | 2 × Length + 2 × Breadth | Page 151 | 2 × 6 + 2 × 4 = 20 cm |
| Area of a square | Length × Length | Page 151 | 5 × 5 = 25 square cm |
| Perimeter of a square | 4 × Length | Page 151 | 4 × 5 = 20 cm |
| Square cm | The unit of area when lengths are in cm | Pages 145 onwards | The area of shape (d) on page 152 is 9 square cm |
| Square m | The unit of area when lengths are in metres | Page 151, the classroom floor | A field 42 m by 34 m has an area of 1428 square m |
Exercises
- Grandmother's quilt cover and the three reels of lace — The Quilt Border Page 142
- Perimeter of shapes with equal sides; drawing rectangles to a given perimeter — Let Us Do Page 142
- Counting patches; which shapes tile a table top; meeting the word area — The Rug and the Four Tables Page 143
- Preetha's desk: how many of each tile would cover it — Let Us Do Page 144
- Rectangles A, B and C — Comparing Shapes Page 144–145
- Two gardens on a grid, your palm, leaves, and the two mats — Let Us Do Page 145–147
- Does a bigger area always mean a bigger perimeter? — Trisha's Two Rectangles Page 147
- Same area but different perimeter; same perimeter but different area — Let Us Explore Page 147–148
- Making new shapes with the same area; comparing a square with a triangle — Let Us Do Page 149–150
- Grandmother's square patchwork: Area = Length × Breadth — Area of a Rectangle Page 150
- Perimeter = 2 × Length + 2 × Breadth, and what happens when all sides are equal — From Rectangle to Square Page 151
- Your classroom floor, five grid shapes, everyday objects, and three word problems — Let Us Do Page 151–153
- The tile-and-die game: build up to a perimeter of 24 and win — Let Us Play Page 154