Higher June 2019 Paper 4 Q7
7 The diagram shows a shape ABCDE.
The shape is made from a rectangle, a right-angled triangle and a quarter of a circle.
Not to scale
F is the mid-point of BD.
AE = 18 m and the perpendicular distance from C to AE is 41 m.
Work out the perimeter of the shape ABCDE. [6]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 109 or 108.8 to 108.9 | 6 | figures and working may be on diagram B1 for [radius of circle =] 9 B1 for [AB or ED =] 32 soi by 41 – their 9 M1 for \(\frac{1}{4} \times 2 \times \pi \times\) their 9 soi by \(\frac{9\pi}{2}\), 14.1 or 14.13 to 14.14 M2 for \(\sqrt{(\textit{their }9)^2 + (\textit{their }9)^2}\) soi by \(9\sqrt{2}\), 12.7[2…] or 12.73 or M1 for \((\textit{their }9)^2 + (\textit{their }9)^2\) soi by 162 M1 for their 12.72… + their 14.1 + 2 × their 32 + 18 seen to a maximum of 5 marks | |