0580/12 May/Jun 2026, Question 13: Area of a Parallelogram and Trapezium
Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Non-calculator · 3 marks
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The question, in short
On a 1 cm² grid, draw a trapezium similar to T and a rectangle matching T's area.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Part (a) · 1 mark
Draw a second trapezium, not identical to T, that is mathematically similar to it.
- 1Multiply every length of T by the same scale factor, e.g. 2
- 2Parallel sides 4 cm and 8 cm, height 4 cm, with a right angle in the same place
AnswerA trapezium similar to T (not congruent), e.g. parallel sides 4 cm and 8 cm, height 4 cm
Part (b) · 2 marks
Draw a rectangle whose area equals the area of trapezium T.
- 1Area of T = 1/2 × (2 + 4) × 2 = 6 cm²
- 2Draw a rectangle 3 cm by 2 cm
AnswerA rectangle with area 6 cm², e.g. 3 cm by 2 cm
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