The NCERT Solutions for Class 6 Mathematics Chapter 6 Perimeter and Area explain boundary length, covered region, grids, tangrams, house plans, and triangle area through the 2026-27 Ganita Prakash activities. Each answer shows the formula used, the substitution, and the unit check.
- Core ideas: perimeter, area, regular polygons, grid estimates, and triangle area
- Useful formulas: rectangle perimeter, square perimeter, rectangle area, and half-rectangle triangle area
- Practice style: figure-based tasks, shape rearrangements, tangram comparisons, and maze puzzles
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These solutions follow the NCERT Ganita Prakash Reprint 2026-27 chapter and keep every calculation unit visible.
Perimeter and Area Ideas Every Class 6 Student Should Know
Perimeter is the total distance around a closed figure. Area is the amount of region covered by the figure. The two ideas are connected, but they are not the same. A shape can keep the same area after rearrangement, while its perimeter changes.
| Idea | Meaning | Where it appears |
|---|---|---|
| Perimeter | Add all outside side lengths | Fencing, tracks, borders, strings |
| Area | Count or calculate covered region | Gardens, floors, carpets, house plans |
| Regular polygon | All sides and angles are equal | Square, equilateral triangle, regular hexagon |
| Triangle area | Half of a matching rectangle | Grid triangles and split figures |
Use length units for perimeter and square units for area. This one check catches many wrong answers in Chapter 6.
Formula Checks Used in Perimeter and Area Solutions
The chapter uses simple formulas, but the questions often hide which one is needed. Fencing and running tracks need perimeter. Tiling, carpets, and fields need area. Read the action word before choosing a formula.
- Rectangle perimeter: add length and breadth, then double the sum.
- Square perimeter: multiply one side by four.
- Rectangle area: multiply length by breadth.
- Triangle area in this chapter: take half of the matching rectangle.
If the answer uses sq m for fencing, the formula choice is wrong.
Perimeter and Area Class 6 Video Explanation
Source: Magnet Brains on YouTube
How to Solve Figure-Based Questions in Chapter 6
Many Chapter 6 tasks are not plain numerical exercises. They ask students to mark positions on tracks, compare tangram pieces, split shapes, or complete house plans. Start by copying the given measurements into the figure.
- Mark the known lengths on the diagram.
- Decide whether the question asks for boundary length or covered region.
- Split complex figures into rectangles and triangles.
- Write the formula before substituting numbers.
- Check the final unit.
The solution PDF also covers drawing-based and local-measurement tasks with a sample method. Open-ended tasks may have more than one correct drawing.
Practice question cards for Perimeter and Area
Use the step-by-step question cards after reading the PDF solutions.
Common Mistakes in Perimeter and Area NCERT Solutions
Most wrong answers come from mixing perimeter with area. Another common error is forgetting that a shared edge disappears from the outside boundary when two pieces are joined.
- Do not use area for fencing, rope, tracks, lace, or borders.
- Do not use perimeter for tiling, carpets, fields, or floor space.
- Do not count a diagonal grid unit as one straight unit.
- Do not forget to subtract the carpet or flower-bed area when asked for remaining area.
- Do not assume same area means same perimeter.
Quick check: if the answer is a boundary, units are cm, m, or ft. If the answer is a region, units are square units.
Student Feedback on Perimeter and Area Class 6 Mathematics
In a Collegedunia poll of 10,680 students before the 2026 school exams, 73% of students said formula choice became easier after sorting questions into boundary and region problems.
Source: 2026-27 Class 6 Mathematics student poll
Related Resources for Perimeter and Area Class 6
Use these Collegedunia resources to read, revise, and practise the same chapter in different ways.
| Resource | What it offers |
|---|---|
| Perimeter and Area Class 6 Notes | Definitions, formulas, and quick examples |
| Perimeter and Area NCERT Book | Official chapter activities and source questions |
| Perimeter and Area Handwritten Notes | Fast revision of formulas and figure checks |
| Perimeter and Area Question Cards | Expandable solutions and expert explanations for every question |
NCERT Solutions for Class 6 Mathematics Ganita Prakash: All Chapters
Move between these solution pages while working through the Ganita Prakash textbook.
| Chapter | NCERT Solutions |
|---|---|
| Chapter 1 | Patterns in Mathematics Solutions |
| Chapter 2 | Lines and Angles Solutions |
| Chapter 3 | Number Play Solutions |
| Chapter 4 | Data Handling and Presentation Solutions |
| Chapter 5 | Prime Time Solutions |
| Chapter 6 | Perimeter and Area Solutions |
| Chapter 7 | Fractions Solutions |
| Chapter 8 | Playing with Constructions Solutions |
| Chapter 9 | Symmetry Solutions |
| Chapter 10 | The Other Side of Zero Solutions |
Perimeter and Area Class 6 Mathematics NCERT Solutions FAQs
Ques. What is perimeter in Class 6 Mathematics?
Ans. Perimeter is the total length around a closed figure. It is found by adding all outside side lengths.
Ques. What is area in Chapter 6 Perimeter and Area?
Ans. Area is the amount of region covered by a closed figure. It is measured in square units.
Ques. What is the formula for perimeter of a rectangle?
Ans. The perimeter of a rectangle is 2 times the sum of its length and breadth.
Ques. What is the formula for area of a rectangle?
Ans. The area of a rectangle is length multiplied by breadth.
Ques. How are perimeter and area different?
Ans. Perimeter measures boundary length, while area measures covered region. Their units are also different.
Ques. Are these solutions based on the 2026-27 NCERT book?
Ans. Yes. The answers follow Class 6 Ganita Prakash Chapter 6 Perimeter and Area for the 2026-27 session.
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