4MA1/2HR Jan 2019, Question 19: The Sine Rule
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 5 marks
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The question, in short
Using the given side lengths and angles in quadrilateral ABCD with diagonal DB, work out its total area, rounded to 3 significant figures.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 5 marks
- 1Sine rule in ABD: BD = 9.3 × sin 97° ÷ sin 58° = 10.88…
- 2Angle ADB = 180 − 97 − 58 = 25°
- 3Area ABD = ½ × 9.3 × 10.88… × sin 25° = 21.39…
- 4Area BCD = ½ × 10.88… × 11.2 × sin 47° = 44.57…
- 5Total area = 21.39… + 44.57… = 66.0
Answer66.0
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