Core
Mensuration: Core
Core
Mensuration (NCERT Ch. 10)
What you'll learn
- Find the perimeter of regular and irregular closed figures.
- Find the perimeter of a rectangle and square.
- Find the area of a rectangle and square using a squared grid, then using formulas.
Key concepts
- Perimeter = the total length of the boundary of a closed figure.
- Perimeter of a rectangle = 2 × (length + breadth).
- Perimeter of a square = 4 × side.
- Area = the amount of surface enclosed by a closed figure, measured in square units.
- Area of a rectangle = length × breadth.
- Area of a square = side × side.
Worked example
Find the perimeter and area of a rectangle with length 8 cm and breadth 5 cm.
Perimeter = 2 x (8 + 5) = 2 x 13 = 26 cm
Area = 8 x 5 = 40 sq cm
Common mistakes
- Confusing perimeter (boundary, linear units) with area (surface, square units).
- Forgetting to multiply by 2 when finding rectangle perimeter.
- Using different units for length and breadth without converting first.
Quick check
- Find the perimeter of a square of side 6 cm.
- Find the area of a rectangle 10 m by 4 m.
Open the Practice tab for graded questions on Mensuration (NCERT Ch. 10).
Key Takeaways (TL;DR)
- What you'll learn
- Key concepts
- Worked example
- Common mistakes
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