0580/43 May/Jun 2025, Question 4: Area of a Parallelogram and Trapezium
Cambridge IGCSE Mathematics 0580 · Paper 43 (Extended) · Calculator · 3 marks
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The question, in short
A pentagon is formed from two congruent trapeziums with height 11.4 cm, base 14 cm and vertical sides x cm; given total area 130.2 cm², find x.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Each trapezium has width 14 ÷ 2 = 7 cm and parallel sides x and 11.4
- 2Area = 2 × 1/2 × 7 × (x + 11.4) = 130.2
- 37(x + 11.4) = 130.2, so x + 11.4 = 18.6
- 4x = 7.20
Answer7.20 or 7 1/5
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