4MA1/1HR Jun 2024, Question 18: Area Factor of Similar Shapes
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 4 marks
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The question, in short
Two similar vases have heights 30 cm and 12 cm, and the difference between their surface areas is 178.5 cm²; work out the surface area of the taller vase.
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Solution · 4 marks
- 1Heights 30 : 12 = 5 : 2, so surface areas are in the ratio 5² : 2² = 25 : 4
- 2Let area A = 25x and area B = 4x, so 25x − 4x = 21x = 178.5
- 3x = 178.5 ÷ 21 = 8.5
- 4Surface area of A = 25 × 8.5 = 212.5
Answer212.5
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