4MA1/2H Jun 2024, Question 7: Composite Perimeter, Area and Volume
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 4 marks
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The question, in short
A six-sided shape ABCDEF has AF = 21 cm, CD = 15 cm, AB = FE = 13 cm, with CD parallel to AF and perpendicular height h cm. Given area 390 cm², find h.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1Rectangle ABEF: 21 × 13 = 273 cm².
- 2Trapezium BCDE: 390 − 273 = 117 cm².
- 3Trapezium area = ½ × (15 + 21) × height = 18 × height, so height = 117 ÷ 18 = 6.5 cm.
- 4h = 13 + 6.5 = 19.5
Answer19.5
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