Concept 8 of 10Foundation
Watch on YouTubeVideoRhombus, trapezium, parallelogram areas
Beyond the basic shapes:
- Parallelogram: opposite sides parallel and equal. Area = base × height (height is perpendicular, not slant!).
- Rhombus: a parallelogram with ALL four sides equal. Diagonals are perpendicular and bisect each other. Area = ½ × d₁ × d₂.
- Trapezium: exactly ONE pair of parallel sides (say lengths a and b). Area = ½ × (a + b) × h, where h is the perpendicular distance between the parallel sides.
Example
Rhombus with diagonals 10 cm and 8 cm:
Area = ½ × 10 × 8 = 40 cm².
Trapezium: parallel sides 7 cm and 11 cm, height 5 cm:
Area = ½ × (7 + 11) × 5 = 45 cm².
Area = ½ × 10 × 8 = 40 cm².
Trapezium: parallel sides 7 cm and 11 cm, height 5 cm:
Area = ½ × (7 + 11) × 5 = 45 cm².
💡 Tip:A square IS a rhombus (all sides equal). A rectangle IS a parallelogram. Special cases work with general formulas too.
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5 questions to check what you just read.
0 / 5
- Q1.Area of rhombus with diagonals 8 and 6:
- Q2.Area of parallelogram base 10, height 7:
- Q3.Area of trapezium: parallel sides 7 and 11, height 4:
- Q4.Rhombus diagonals 10 and 4:
- Q5.A square can be viewed as a rhombus with: