Higher November 2017 Paper 2 Q19
19 The length of a rectangle is five times the width.
The area of the rectangle is 1620 cm\(^2\)
Not drawn accurately
Work out the width of the rectangle. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(5w \times w\) or \(5w^2\) or \(1620 \div 5\) or 324 or trials a value of \(w\) for \(5w^2\) | M1 | oe Any letter eg \(5 \times 12 \times 12\) or \(50 \times 10\) |
| \(\sqrt{\dfrac{1620}{5}}\) or \(\sqrt{324}\) | M1dep | |
| 18 | A1 | A0 if \(-18\) also given |
| Alternative method 2 | ||
| \(l \times \dfrac{l}{5}\) or \(\dfrac{l^2}{5}\) or \(1620 \times 5\) or 8100 or trials a value of \(l\) for \(\dfrac{l^2}{5}\) | M1 | oe Any letter eg \(\dfrac{60 \times 60}{5}\) or \(80 \times 16\) |
| \(\sqrt{1620 \times 5}\) or \(\sqrt{8100}\) or 90 | M1dep | |
| 18 | A1 | A0 if \(-18\) also given |
Additional guidance
| Answer 18 | M2A1 |
| 18 in working with 90 on answer line | M2A0 |
| Trials for \(5w^2\) or \(\dfrac{l^2}{5}\) without answer 18 | M1M0A0 |