4MA1/1F Nov 2021, Question 9: Composite Perimeter, Area and Volume
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 3 marks
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The question, in short
Two congruent right triangles ABC and DEF are drawn on a centimetre grid; find the area of region R, the part of DEF lying outside ABC.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Area of triangle DEF = 1/2 × 6 × 4 = 12 cm²
- 2The overlap with ABC is a triangle with base 3 (x = 4 to 7) and height 2
- 3Overlap area = 1/2 × 3 × 2 = 3 cm²
- 4R = 12 − 3 = 9 cm²
Answer9
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