Area of a Trapezium

Learn how to find the area of trapeziums, including right-angled and isosceles trapeziums. Let's get started! 🚀

Area of a Trapezium - introduction visual

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Flashcards

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Trapezium definition diagram showing bases, height, and difference from a parallelogram.Diagram showing the trapezium area formula: (a + b) ÷ 2) x h, and example calculation using bases 8 cm and 12 cm, height 6 cm.Area of a right-angled trapezium formula, with example of a right-angled trapezium with bases 6 cm and 9 cm, height 4 cm, showing result as 30 cm².Area calculation of an isosceles trapezium with bases 5 m and 9 m, total area 21 m², showing height calculated as 3 m.

🛎️ What is a Trapezium?

  • A trapezium is a four-sided shape with only one pair of parallel sides.
  • The height is the perpendicular distance between the parallel sides.

🛎️ Area of a Trapezium

  • The area of a trapezium is given by: Area=(a+b)2×hArea = \frac{(a + b)}{2} \times h
  • Here, aa and bb are the lengths of the parallel sides.

🛎️ Area of a Right-Angled Trapezium

  • A right-angled trapezium has two right angles, so the height is easy to identify.
  • Use the same formula and take the perpendicular side as the height.

🛎️ Finding the Height of a Trapezium

  • Use the same formula: Area=(a+b)2×hArea = \frac{(a + b)}{2} \times h
  • Substitute the known values and solve for the height.

Practice Questions

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