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4MA1/1F Jun 2021, Question 18: Composite Perimeter, Area and Volume

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 4 marks

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The question, in short

A five-sided shape ABCDE has area 91.8 cm², with AB = x cm, BC = 8 cm, AE = 14 cm, ED = 13 cm and right angles at A, B and E. Find x.

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

Solution · 4 marks

  1. 114x + 6 × 0.5 × (13 − x) = 91.8
  2. 214x + 3(13 − x) = 91.8
  3. 314x + 39 − 3x = 91.8
  4. 411x + 39 = 91.8
  5. 511x = 52.8
  6. 6x = 4.8

Answer4.8

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