4MA1/1H Nov 2021, Question 5: Simultaneous Equations by Elimination
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 5 marks
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The question, in short
Using 9 identical L by W tiles arranged in a rectangle ABCD with area 1620 cm², find the values of L and W.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 5 marks
- 19 tiles make 1620 cm², so LW = 1620 ÷ 9 = 180
- 2Top and bottom of ABCD match: 5W = 4L, so W = 4L/5
- 3L × 4L/5 = 180, so L² = 225 and L = 15
- 4W = 4 × 15 ÷ 5 = 12
AnswerL = 15, W = 12
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