Geometry & MeasuresStudy Notes

Worked Example 3: Finding Missing Height

Part of Area of Parallelograms & TrapeziumsGCSE Mathematics

This study notes covers Worked Example 3: Finding Missing Height 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 6 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 6 of 7

Practice

11 questions

Recall

4 flashcards

Worked Example 3: Finding Missing Height

A parallelogram has area 56 cm² and base 8 cm. Find the height.

Step 1 Set up the equation

Area = base × height

56 = 8 × height

Step 2 Solve for height

height = 56 ÷ 8 = 7 cm

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

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

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