Areas
Telangana Board · Class 9 · Mathematics
Quick revision notes for Areas — Telangana Board Class 9 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
Basic Concepts and Properties of Areas
- Area represents the amount of surface enclosed by a closed figure
- Area is always expressed as a positive number with square units (cm², m², km²)
- Unit area is the area of a square with unit side length
Figures on Same Base and Between Same Parallels
- Two figures are on same base if they share a common side
- Figures are between same parallels if vertices opposite to common base lie on a line parallel to the base
- This concept is crucial for comparing areas of different shapes
Areas of Parallelograms
- Parallelograms on same base and between same parallels have equal areas
- Area of parallelogram = base × corresponding height
- Any side can be taken as base, with perpendicular distance to opposite side as height
Areas of Triangles
- Triangles on same base and between same parallels have equal areas
- Area of triangle = ½ × base × corresponding height
- Triangle area is half the area of parallelogram on same base and between same parallels
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