4MA0 Foundation January 2015 Paper 2R Q23
23 Here is a trapezium \(ABCD\).
Diagram NOT accurately drawn
Angle \(DAB\) = angle \(ABC = 90^\circ\)
\(AD = 20\) cm
\(AB = 8\) cm
\(BC = 14\) cm
(a) Calculate the area of the trapezium \(ABCD\). (2)
(b) Calculate the length of \(CD\). (4)
| Scheme | Marks |
|---|---|
\(\dfrac{1}{2}(14 + 20) \times 8\) or \(8 \times 14 + \dfrac{1}{2} \times 6 \times 8\) | M1 |
| 136 | A1 |
| (2) |
Notes
M1: for a complete method
| Scheme | Marks |
|---|---|
| 20 − 14 (= 6) | M1 |
| \('6'^2 + 8^2\) or 36 + 64 or 100 | M1 |
| \(\sqrt{('6'^2 + 8^2)}\) | M1 |
| 10 | A1 |
| (4) | |
| (6 marks) |
Notes
M1: dep on previous M1
M1: dep on previous M1