4MA1/1FR Jan 2020, Question 24: Constructing Equations
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 5 marks
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The question, in short
A regular hexagon has side (x − 1) cm; an isosceles triangle has GH = (2x − 3) cm and JH = JG = (x + 5) cm. Equal perimeters; find the hexagon's side length, showing algebra.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 5 marks
- 16(x − 1) = 6x − 6
- 22(x + 5) + (2x − 3) = 2x + 10 + 2x − 3 = 4x + 7
- 36x − 6 = 4x + 7
- 46x − 4x = 7 + 6
- 52x = 13
- 6x = 6.5
- 7(6.5 − 1) = 5.5
Answer5.5
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