NCERT Class 6 Maths Chapter 6
Perimeter and Area
This chapter teaches Class 6 CBSE students how to calculate the perimeter and area of common two-dimensional shapes such as rectangles, squares, triangles, and irregular figures. Students understand the difference between perimeter (boundary length) and area (surface covered) and apply these concepts to real-world problems involving fencing, flooring, and land measurement. The chapter develops spatial reasoning and practical problem-solving skills.
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Key Terms
- Perimeter
- The total length of the boundary of a two-dimensional shape, calculated by adding the lengths of all its sides.
- Area
- The amount of surface enclosed within the boundary of a two-dimensional shape, measured in square units (cm², m²).
- Rectangle
- A quadrilateral with four right angles and opposite sides equal; Perimeter = 2(l + b), Area = l × b.
- Square
- A special rectangle where all four sides are equal; Perimeter = 4 × side, Area = side × side.
- Triangle
- A polygon with three sides and three angles; Area = ½ × base × height, Perimeter = sum of all three sides.
- Unit Square
- A square with each side measuring one unit (1 cm or 1 m), used as the standard unit for measuring area.
Frequently Asked Questions
What is the formula for perimeter of a rectangle in Class 6 Maths?▾
The perimeter of a rectangle = 2 × (length + breadth) or 2(l + b). For example, if a rectangle has length = 8 cm and breadth = 5 cm, then perimeter = 2(8 + 5) = 2 × 13 = 26 cm.
What is the difference between area and perimeter in Class 6 Maths?▾
Perimeter is the total length of the boundary around a shape (measured in cm, m, etc.), while area is the amount of surface covered inside the shape (measured in square units like cm² or m²). A rectangle can have the same perimeter but different areas.
How do you calculate the area of a square in Class 6?▾
Area of a square = side × side = side². If a square has a side of 6 cm, its area = 6 × 6 = 36 cm². The perimeter of the same square = 4 × 6 = 24 cm.
What is the formula for area of a triangle in Class 6 Maths Chapter 6?▾
Area of a triangle = ½ × base × height. For example, if base = 10 cm and height = 6 cm, Area = ½ × 10 × 6 = 30 cm². The perimeter is the sum of all three sides.
How do you find the area of an irregular shape in Class 6?▾
To find the area of an irregular shape, place it on a grid and count the full squares inside it. For partial squares, count those that are more than half as a full square and ignore those less than half. Add all counted squares for total area.
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