4MA1/1H Jun 2025, Question 9: Using Trigonometry and Pythagoras Together
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 5 marks
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The question, in short
Find the area of trapezium ABCD with one line of symmetry, given AD = 12 cm, DC = 47 cm and angle ADC = 60°, to 3 significant figures.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 5 marks
- 1Height = 12 sin 60° = 10.392…
- 2Horizontal part = 12 cos 60° = 6
- 3AB = 47 − 6 − 6 = 35
- 4Area = 1/2 × (47 + 35) × 10.392…
- 5= 426.1… = 426 (3 s.f.)
Answer426
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