Class 6 Mathematics — Chapter 6: PERIMETER AND AREA

Chapter 6: PERIMETER AND AREA is a chapter in Class 6 Mathematics (Ganita Prakash), part of the CBSE NCERT curriculum followed by over 25 million students across India. This chapter covers 9 topics including Concept of Perimeter, Perimeter of a Rectangle, Perimeter of a Square. BrainWeave provides free AI-powered explanations — by voice or text, in Hindi or English — with no signup required.

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What you'll learn

▸Concept of PerimeterCore concept

perimeterboundaryclosed figurepolygonsum of sides
▸Perimeter of a RectangleCore concept

rectanglelengthbreadthformulaperimeter
▸Perimeter of a SquareCore concept

squaresideequal sidesformulaperimeter
▸Perimeter of a TriangleCore concept

trianglethree sidessum of lengthsperimeter
▸Solving Perimeter Word Problems

word problemapplicationfencingdistancerounds
▸Perimeter of Regular Polygons

regular polygonequilateral trianglehexagonequal sidesformula
▸Finding Missing Dimensions from Perimeter

missing lengthunknown sidefind breadthinverse problem
▸Comparing Perimeters and Reconfigured Shapes

compare distancerejoin shapessplit shapescomposite figure
▸Concept of AreaCore concept

arearegionenclosedsurfacesquare units

Chapter Summary

Understanding that perimeter is the total distance around the boundary of a closed plane figure. For polygons, it is the sum of the lengths of all its sides.

Applying the formula for the perimeter of a rectangle, which is 2 multiplied by the sum of its length and breadth: P = 2 × (length + breadth).

Applying the formula for the perimeter of a square, which is 4 multiplied by the length of one side: P = 4 × side.

Calculating the perimeter of any triangle by summing the lengths of its three sides.

Applying perimeter formulas to solve real-world problems, such as calculating the length of fencing required for a park, the distance covered in multiple rounds of a track, or the cost of materials based on length.

Understanding that a regular polygon has all sides and all angles equal, and its perimeter is found by multiplying the number of sides by the length of one side. This includes the specific case of an equilateral triangle (P = 3 × side).

Using a given perimeter and the length of some sides to calculate the length of an unknown side for shapes like rectangles and triangles.

Solving advanced problems that involve comparing distances traveled on different tracks or determining the new perimeter of a shape after it has been cut and rearranged.

Understanding that area is the measure of the region or surface enclosed by a closed figure and distinguishing it from the concept of perimeter.

Practice Questions from this Chapter

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Calculate the perimeter of my room? Get Solution →
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What is the definition of the perimeter of a closed plane figure? Get Solution →
What is the formula for the perimeter of a rectangle? Get Solution →
What is the formula for the perimeter of a square? Get Solution →
How is the perimeter of a polygon calculated? Get Solution →
What is a regular polygon? Get Solution →

Did you know?

💡 The Earth's equator is a perimeter over 40,000 kilometers long.
💡 Ancient Egyptians used perimeter to redesign fields after the Nile River flooded.
💡 A snail's path around a leaf is a tiny perimeter it measures with its senses.
💡 The circumference is the special name for a circle's perimeter.
💡 Architects calculate building perimeters to order materials like fences and trim.

Frequently Asked Questions

How many topics are covered in this chapter?

This chapter covers 9 key topics: Concept of Perimeter, Perimeter of a Rectangle, Perimeter of a Square, Perimeter of a Triangle, Solving Perimeter Word Problems, and more. The BrainWeave AI tutor explains each one with examples.

Is Chapter 6: PERIMETER AND AREA important for board exams?

Class 6 is a foundation year. Mastering this chapter now will help you build strong fundamentals for the higher classes.

Can I get NCERT solutions for this chapter in Hindi?

Yes. BrainWeave's AI tutor supports Hindi, English, and Hinglish for both voice and text chat. Just ask your question in your preferred language.

Is BrainWeave free for Class 6?

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Can I use voice chat for this chapter?

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Static solution sites give the same answer to everyone. BrainWeave adapts to your question — ask "explain like I'm 12" or "give a real-world example" and get a personalized response. Voice mode and Hindi support work seamlessly.

Related Chapters

Chapter 5: Common Multiples and Common Factors

Chapter 7: FRACTIONS

Chapter 9: Symmetry

Chapter 3: Number Play

Chapter 2: LINES AND ANGLES

Chapter 1: Patterns in Mathematics

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