4MA1/1F Jun 2025, Question 26: Using Trigonometry and Pythagoras Together
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 5 marks
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The question, in short
Trapezium ABCD has one line of symmetry, AD = 12 cm, DC = 47 cm and angle ADC = 60°. Work out its area to 3 significant figures, showing working.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 5 marks
- 1Height = 12 sin 60° = 10.39…
- 2Horizontal part of AD = 12 cos 60° = 6
- 3AB = 47 − 6 − 6 = 35
- 4Area = 1/2 × (47 + 35) × 10.39…
- 5= 426.1… = 426 cm² (3 s.f.)
Answer426
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