Geometry & MeasuresStudy Notes

Worked Example 2: Trapezium

Part of Area of Parallelograms & TrapeziumsGCSE Mathematics

This study notes covers Worked Example 2: Trapezium within Area of Parallelograms & Trapeziums for GCSE Mathematics. Revise Area of Parallelograms & Trapeziums in Geometry & Measures for GCSE Mathematics with 11 exam-style questions and 4 flashcards. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 5 of 7 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 5 of 7

Practice

11 questions

Recall

4 flashcards

Worked Example 2: Trapezium

Find the area of a trapezium with parallel sides 8 cm and 12 cm, and height 5 cm.

Step 1 Write the formula

Area = ½ × (a + b) × h

Step 2 Add the parallel sides

a + b = 8 + 12 = 20

Step 3 Apply the formula

Area = ½ × 20 × 5

Area = ½ × 100 = 50 cm²

Keep building this topic

Read this section alongside the surrounding pages in Area of Parallelograms & Trapeziums. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Area of Parallelograms & Trapeziums

A parallelogram has base b and perpendicular height h. Which formula gives its area?

  • A. (1/2) × b × h
  • B. b × h
  • C. 2(b + h)
  • D. (1/2)(b + h) × s
1 markfoundation

Explain why the area formula for a parallelogram is the same as the area formula for a rectangle.

2 markshigher

Quick Recall Flashcards

Trapezium Area
Area = ½ × (sum of parallel sides) × height = ½(a + b)h
Area of Trapezium
½ × (a + b) × h where a,b are parallel sides

Want to test your knowledge?

PrepWise has 11 exam-style questions and 4 flashcards for Area of Parallelograms & Trapeziums — with adaptive difficulty and instant feedback.

Join Alpha