4MA1/1F Nov 2021, Question 17: Simultaneous Equations by Elimination
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 5 marks
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The question, in short
Using 9 identical L by W tiles, Yasmin forms rectangle ABCD with area 1620 cm²; find L and W from the tile arrangement shown.
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 L = 5W/4
- 35W/4 × W = 180, so W² = 144 and W = 12
- 4L = 5 × 12 ÷ 4 = 15
AnswerL = 15, W = 12
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