Higher November 2019 Paper 6 Q4
4 The diagram shows two rectangles, A and B.
Not to scale
Rectangle A has a width of 25 cm and a height of 12 cm.
The width of rectangle B is three times the height of rectangle B.
The area of rectangle A is equal to the area of rectangle B.
Find the perimeter of rectangle B. [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 80 nfww | 5 | B3 for height [of B =] 10 OR M2 for \(3x^2 = \textit{their}\ (12 \times 25)\) or better or M1 for \(3x \times x\) oe or 300 seen A1 for \(x = 10\) AND M1 for (2 × their 10) + (2 × 3 × their 10) oe or for \(2a + 2b\) where \(ab = 300\) but not with 25 and 12 | May be seen on diagram May be implied by arithmetic processing e.g. \(\sqrt{\frac{\textit{their}\ (12 \times 25)}{3}}\) or at least two trials of 3 × number × number intending 300 Allow their 10 if clearly intended as height e.g. “\(h\) =” or marked on diagram e.g. M1M1 for 2 × 36 + 2 × 8.3[3…] after 300 seen |