0580/21 Oct/Nov 2022, Question 12: Area Factor of Similar Shapes
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 3 marks
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The question, in short
Using similar triangles ABC and PQR with PR/AC = 2/3, AB = 9 cm and area of ABC = 18 cm², find PQ and the area of PQR.
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Part (a) · 1 mark
Find the length of PQ given the similarity ratio and AB = 9 cm.
- 1Length scale factor = 2/3
- 2PQ = 9 × 2/3 = 6 cm
Answer6
Part (b) · 2 marks
Find the area of triangle PQR using the similarity ratio and area of ABC = 18 cm².
- 1Area scale factor = (2/3)² = 4/9
- 2Area PQR = 18 × 4/9
- 3= 8 cm²
Answer8
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Also searched as: 0580/21/O/N/22 · 0580_w22_qp_21 · 0580 w22 21 · question 12.
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