Higher January 2019 Paper 2R Q19
19 \(ABCD\) is a quadrilateral.
Diagram NOT accurately drawn
Find the area of quadrilateral \(ABCD\).
Give your answer correct to 3 significant figures.
(5)
| Scheme | Marks |
|---|---|
| \(\dfrac{BD}{\sin 97} = \dfrac{9.3}{\sin 58}\) | M1 |
| \(BD = \dfrac{9.3}{\sin 58} \times \sin 97\) (= 10.8846..) | M1 |
| 0.5 × ‘10.88.’ × 11.2 × sin47 (= 44.57.....) | M1 |
| 0.5 × ‘10.88..’ × 9.3 × sin25 (=21.39......) or 0.5 × ‘4.63458 …’ × 9.3 × sin97 (=21.39......) | M1 |
| 66.0 | A1 |
| (5) | |
| (5 marks) |
Notes
M1: Complete method to find area \(BCD\)
M1: Complete method to find area \(ABD\)
A1: Allow 65.9 – 66.1