0580/22 Oct/Nov 2023, Question 11: Finding Missing Sides
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 4 marks
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The question, in short
Two similar shapes have dimensions 6.3 cm by 9 cm and h cm by 5 cm; find h, then use the smaller area of 16 cm² to work out the larger area.
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Part (a) · 2 marks
Work out the missing height h of the smaller shape using the similarity of the two shapes.
- 1Scale factor = 9/5 = 1.8
- 2h = 6.3 ÷ 1.8 = 3.5
Answer3.5
Part (b) · 2 marks
Given the smaller shape's area is 16 cm², determine the area of the larger shape.
- 1Area scale factor = (9/5)² = 3.24
- 2Area = 16 × 3.24 = 51.84 cm²
Answer51.84
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Also searched as: 0580/22/O/N/23 · 0580_w23_qp_22 · 0580 w23 22 · question 11.
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