Higher November 2022 Paper 2 Q7
7.
Diagram not drawn to scale
The diagram shows a rhombus, \(ABCD\).
\(AC\) and \(BD\) intersect at \(E\).
The length of \(AC\) is 12 cm.
\(B\hat{C}E\) is 35°.
Find the perimeter of \(ABCD\). [6]
| Scheme | Marks | Comments |
|---|---|---|
| Uses \(EC\) = 6 oe correctly in a trigonometric statement | S1 | |
| (\(BC\) =) \(\dfrac{6}{\cos 35}\) or \(\dfrac{6}{\sin(90 - 35)}\) | M2 | Allow equivalent complete methods for M2 or M1 M1 for \(\cos 35 = \dfrac{6}{BC}\) or \(\sin(90 - 35) = \dfrac{6}{BC}\) oe |
| (\(BC\) = ) 7.3(246...) si | A1 | May be implied by a correct expression for the perimeter e.g \(\dfrac{24}{\cos 35}\) or \(\dfrac{24}{\sin 55}\) oe |
| (perimeter = ) 4 × 7.3(246...) si | M1 | FT ‘their derived \(BC\)’ providing S1 previously awarded and their \(BC\) > 6 |
| (perimeter = ) 29.2(...) or 29.3 or 29 (cm) | A1 | FT |
| (6) |