Higher June 2017 Paper 4 Q6

6 The diagram shows a semi-circle inside a rectangle of length 120 m.
The semi-circle touches the rectangle at A, B and C.

Not to scale

Calculate the perimeter of the shaded region.
Give your answer correct to 3 significant figures. [5]

Mark scheme

Answer	Marks	Part marks and guidance
214	5	B4 for 214.2 or 214.24 to 214.26	Accept \(120 + 30\pi\) for B4
		OR
		B1 for 60 marked or used as width of the rectangle or distance from B to the corner	Allow eg \(r = 60\) for B1
		AND
		M2 for \(\frac{1}{4} \times \pi \times 120\) soi by \(30\pi\), 94.2 or 94.24 to 94.26 or M1 for \(\pi \times 120\) soi by 376.8 to 377.1 or \(\frac{1}{2}\pi \times 120\) soi by 188.4 to 188.56
		AND
		M1 for \(2 \times\) their 60 + their \(30\pi\)
		AND
		B1 for their final answer written to more than 3 figs correctly rounded to 3 s.f.
		to a max. of 4 marks