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4MA1/2F Jan 2019, Question 12: Composite Perimeter, Area and Volume

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 5 marks

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The question, in short

Circle with radius 9 cm: find circumference to 1 decimal place. Pentagon ABCDE made from equilateral triangle ABE and square BCDE of area 169 cm²: find its perimeter.

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

Part (a) · 2 marks

Calculate the circumference of a circle with radius 9 cm, giving the result to 1 decimal place.

  1. 12 × π × 9 = 56.548...
  2. 256.5

Answer56.5

Part (b) · 3 marks

Using the square's area 169 cm² and the equilateral triangle, work out the total perimeter of pentagon ABCDE.

  1. 1Side of the square = √169 = 13 cm
  2. 2The triangle is equilateral, so AB = AE = 13 cm
  3. 3The perimeter is 5 sides of 13 cm: 5 × 13 = 65

Answer65

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