Class 8 Maths Part 2 Chapter 7, Area, builds every polygon area formula from scratch by cutting, reflecting and reassembling shapes into rectangles: triangles, parallelograms, rhombuses, trapeziums and general polygons.
What Class 8 Maths Chapter 7 Covers
7.1 Rectangles, Squares, and Triangles review why perimeter does not determine area, then derive Area of a triangle = ½ × base × height for acute, right and obtuse triangles.
Area of Any Polygon, Parallelogram, Rhombus, and Trapezium triangulate irregular polygons and derive the area formulas for a parallelogram (base × height), rhombus (½ × d₁ × d₂) and trapezium (½ × h × (a + b)) using geometric dissection.
Areas in Real Life and Learning Material Sheets apply polygon area formulas to fields and floor plans, followed by printable cut-out and isometric grid sheets.
Exercises in Chapter 7
- Figure it Out exercise sets throughout the chapter with real-world applications and puzzles.
Read Class 8 Maths Chapter 7 Online
More Chapters
- Previous: Chapter 6: Algebra Play
- All Maths chapters and the other Class 8 books: Class 8 NCERT books 2026-27
- All Class 1 to 12 NCERT Textbooks: NCERT Books PDF (Class 1–12)
- Every book chapter by chapter: NCERT chapter wise PDF
FAQ
What are the area formulas for a parallelogram, rhombus, and trapezium in Chapter 7?
Parallelogram: base × height; Rhombus: ½ × product of diagonals (½ × d₁ × d₂); Trapezium: ½ × height × sum of parallel sides (½ × h × (a + b)).
How can you find the area of any irregular polygon?
By dividing (triangulating) the polygon into non-overlapping triangles and trapeziums and adding their individual areas.