Higher January 2020 Paper 1 Q14
14 The diagram shows parallelogram \(EFGH\).
Diagram NOT accurately drawn
\(EF = 9.3\) cm
\(FG = 14.7\) cm
Angle \(EFG = 106^\circ\)
(a) Work out the area of the parallelogram.
Give your answer correct to 3 significant figures. (2)
Give your answer correct to 3 significant figures. (2)
(b) Work out the length of the diagonal \(EG\) of the parallelogram.
Give your answer correct to 3 significant figures. (3)
Give your answer correct to 3 significant figures. (3)
| Scheme | Marks |
|---|---|
| (0.5 ×) 9.3 × 14.7 × sin106 or (9.3 × cos 16) × 14.7 or (9.3 × sin 74) × 14.7 | M1 |
| 131 | A1 |
| (2) |
Notes
M1: for applying the area of a triangle formula using correct values (to find half of the area of the parallelogram) or
for a correct method to find the area of the parallelogram
A1: awrt 131
| Scheme | Marks |
|---|---|
| \((GE^2 =)\; 9.3^2 + 14.7^2 - 2 \times 9.3 \times 14.7 \times \cos 106\) | M1 |
| 377(.9….) or 378 or 86.49 + 216.09 + 75.3… or 302.58 + 75.3…. | M1 |
| 19.4 | A1 |
| (3) | |
| (5 marks) |
Notes
M1: for the correct use of the cosine rule
M1: (dep on M1) for the correct order of operations
A1: for 19.4 – 19.5