0580/21 Oct/Nov 2021, Question 15: Area Factor of Similar Shapes
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 4 marks
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The question, in short
Three mathematically similar wavy shapes are nested, with height ratio small : medium : large = 1 : 5 : 8. Find the ratio of shaded area to total unshaded area in simplest form.
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Solution · 4 marks
- 1Area ratio = 1² : 5² : 8² = 1 : 25 : 64
- 2Shaded = 25 − 1 = 24
- 3Unshaded = (64 − 25) + 1 = 40
- 424 : 40 = 3 : 5
Answer3 : 5
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Also searched as: 0580/21/O/N/21 · 0580_w21_qp_21 · 0580 w21 21 · question 15.
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