4MA1/2FR Jun 2019, Question 20: Finding Missing Sides
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 4 marks
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The question, in short
Similar triangles ABC and DEF are given with AB = 12 cm, BC = 16 cm and EF = 40 cm; find DE and convert the area 525 cm² to m².
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Part (a) · 2 marks
Use the similarity of the triangles to work out the length of DE in cm.
- 1EF corresponds to BC: scale factor = 40 ÷ 16 = 2.5
- 2DE corresponds to AB
- 3DE = 12 × 2.5 = 30 cm
Answer30
Part (b) · 2 marks
Given the area of triangle DEF is 525 cm², express this area in m².
- 11 m² = 100 × 100 = 10 000 cm²
- 2525 ÷ 10 000 = 0.0525 m²
Answer0.0525
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