0580/31 May/Jun 2025, Question 16: Composite Perimeter, Area and Volume
Cambridge IGCSE Mathematics 0580 · Paper 31 (Core) · Calculator · 3 marks
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The question, in short
Work out the area of a shape made from a square of side 7.8 cm with four congruent isosceles triangles on its sides, total height 14 cm.
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Solution · 3 marks
- 1Square = 7.8 × 7.8 = 60.84
- 2Triangle height = (14 − 7.8) ÷ 2 = 3.1
- 3One triangle = 1/2 × 7.8 × 3.1 = 12.09
- 4Area = 60.84 + 4 × 12.09 = 109.2 cm²
Answer109.2
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