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4MA1/2F Jun 2025, Question 22: Finding Missing Sides

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 4 marks

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The question, in short

Two similar quadrilaterals with AB 5 cm, BC 4 cm, FG 10 cm and GH 24 cm: use the scale factor to find the unknown lengths x and y.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 2 marks

Find x, the side matching AB.

  1. 1BC = 4 matches FG = 10
  2. 2Scale factor = 10 ÷ 4 = 2.5
  3. 3EF matches AB: x = 5 × 2.5
  4. 4x = 12.5

Answer12.5

Part (b) · 2 marks

Find y, the side matching GH.

  1. 1CD matches GH = 24
  2. 2Scale factor from ABCD to EFGH is 2.5
  3. 3y = 24 ÷ 2.5
  4. 4y = 9.6

Answer9.6

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