O-LevelAdditional MathematicsStraight line graphs4037/21 · May/June 2012 · Q109 Marks
The diagram shows a trapezium ABCD with vertices A(11, 4), B(7, 7), C(–3, 2) and D. The side AD is parallel to BC and the side CD is perpendicular to BC. Find the area of the trapezium ABCD.
- The diagram shows a trapezium ABCD with vertices A(11, 4), B(7, 7), C(–3, 2) and D. The side AD is parallel to BC and the side CD is perpendicular to BC. Find the area of the trapezium ABCD.[9]
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Mark scheme
Marking points from the official mark scheme (May/June 2012). The mark or mark type is shown in brackets.
- [1] m_CB = 1/2 B1
- [2] (AD) y - 4 = (1/2)(x - 11) or x - 2y = 3 M1 A1
- [1] Uses m₁m₂ = -1 M1
- [1] (CD) y - 2 = -2(x + 3) or 2x + y = -4 A1
- [2] Solves equation AD with equation CD M1; D(-1,-2) A1
- [2] Completely correct method for area M1; 55 A1
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