NCERT Class 6 Mathematics Ganita Prakash (Sanskrit): Chapter 6 — क्षेत्रपरिमितिः क्षेत्रफलं च
This chapter, 'Parimitiḥ' (Perimeter) from NCERT's Class 6 Mathematics Ganita Prakash, introduces the concept of perimeter as the boundary or outline of a shape. It explains that the perimeter is the total distance covered by traversing the outer boundary of a closed figure. The chapter revisits the formulas for calculating the perimeter of rectangles and squares. For a rectangle, the perimeter is the sum of all four sides, which simplifies to 2 times the sum of its length and breadth. For a square, where all sides are equal, the perimeter is four times the length of one side. The chapter uses examples to illustrate these calculations, emphasizing how perimeter is essential for understanding the 'measurement' of shapes.
Quick info
| Board | CBSE / NCERT |
|---|---|
| Class | Class 6 |
| Subject | Mathematics |
| Book | Ganita Prakash (Sanskrit) |
| Chapter | Chapter 6 — क्षेत्रपरिमितिः क्षेत्रफलं च |
| Language | Sanskrit |
| PDF type | NCERT Textbook |
| Session | CBSE 2026 |
| Reading time | 3 minutes |
| Word count | 473 |
Learning outcomes
- Define perimeter as the boundary of a shape.
- Understand that perimeter is the total length of the boundary.
- Calculate the perimeter of a rectangle using the formula 2 * (length + breadth).
- Calculate the perimeter of a square using the formula 4 * side.
- Apply perimeter concepts to solve simple problems.
Vocabulary
| Word | Meaning |
|---|---|
| परिमितिः | Perimeter |
| परिसीमा | Boundary / Perimeter |
| क्षेत्रमितिः | Measurement of area / Perimeter |
| बहुभुजः | Polygon |
| आयतक्षेत्रस्य | Of a rectangle |
| वर्गक्षेत्रस्य | Of a square |
| दैर्घ्यः | Length |
| विस्तारः | Breadth / Width |
| योगफलम् | Sum |
| सूत्र | Formula |
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Practice questions
- आयतक्षेत्रस्य परिसीमायाः सूत्रं लिखत। Answer: आयतक्षेत्रस्य परिसीमा = 2 × (दैर्घ्यः + विस्तारः)
- वर्गक्षेत्रस्य परिसीमायाः सूत्रं लिखत। Answer: वर्गक्षेत्रस्य परिसीमा = 4 × (एकस्य भुजस्य दैर्घ्यः)
- यदि कस्यचित् आयतक्षेत्रस्य दैर्घ्यः १० सेमी अस्ति तथा विस्तारः ५ सेमी अस्ति, तर्हि तस्य परिसीमा का भवति? Answer: परिसीमा = 2 × (10 + 5) = 2 × 15 = 30 सेमी।
- यदि कस्यचित् वर्गक्षेत्रस्य एकस्य भुजस्य दैर्घ्यः ७ मी. अस्ति, तर्हि तस्य परिसीमा का भवति? Answer: परिसीमा = 4 × 7 = 28 मी।
Frequently asked questions
What is perimeter in mathematics?
Perimeter is the total distance around the boundary of a closed two-dimensional shape.
What is the formula for the perimeter of a rectangle?
The formula for the perimeter of a rectangle is 2 × (length + breadth).
What is the formula for the perimeter of a square?
The formula for the perimeter of a square is 4 × side length.
How is perimeter different from area?
Perimeter measures the distance around a shape, while area measures the space enclosed within the shape.
What does 'Parimitiḥ' mean in Sanskrit?
'Parimitiḥ' means perimeter or measurement of the boundary in Sanskrit.
Related resources
Important topics
Topics covered
NCERT Class 6 Mathematics — Ganita Prakash (Sanskrit) — Chapter 6 — क्षेत्रपरिमितिः क्षेत्रफलं च. Verified by NCERT Help Editorial Team. Reviewed on 29 Jul 2026. Last updated 10 Aug 2026.