4MA1/1F Jun 2024, Question 15: Composite Perimeter, Area and Volume
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 4 marks
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The question, in short
Find the area of shape ABCDE, formed from right-angled triangle ABE and square BCDE, given AB = 15 cm, AE = 17 cm and the triangle's perimeter is 40 cm.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1BE² = 17² − 15² = 289 − 225 = 64, so BE = 8 cm.
- 2The square BCDE has side 8 cm: area = 8 × 8 = 64 cm².
- 3Triangle ABE: area = ½ × 15 × 8 = 60 cm².
- 4Total area = 64 + 60 = 124
Answer124
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