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4MA1/2HR Jun 2019, Question 4: Similar Triangles

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · 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 two triangles to work out the length of DE in cm.

  1. 1EF matches BC, so scale factor = 40 ÷ 16 = 2.5
  2. 2DE matches AB: DE = 12 × 2.5 = 30

Answer30

Part (b) · 2 marks

Given that triangle DEF has area 525 cm², express this area in m².

  1. 11 m = 100 cm, so 1 m² = 100 × 100 = 10 000 cm²
  2. 2525 ÷ 10 000 = 0.0525 m²

Answer0.0525

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