Foundation November 2023 Paper 2 Q21
21 The diagram shows a rectangle with length \((3x - 4)\) cm and width \((x + 2)\) cm.
Not to scale
The length of the rectangle is twice the width of the rectangle.
Calculate the area of the rectangle.
You must show your working. [6]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 200 with correct working | 6 | M1 for \(2(x + 2) = 3x - 4\) oe M1 for reaching \(ax = b\) FT their equation A1 for \(x = 8\) OR Trials M1 for one trial into \(2(x + 2)\) and \(3x - 4\) evaluated correctly M1 for two trials of \(2(x + 2)\) and \(3x - 4\) evaluated correctly A1 for [\(w =\)] 10 and [\(l =\)] 20 AND M2 for (their \(x\) \(+ 2) \times (3 \times\) their \(x\) \(- 4)\) or M1 for (their \(x\) \(+ 2)\) or \((3 \times\) their \(x\) \(- 4)\) If 0 or M1 scored, instead allow SC2 for answer 200 with no or insufficient working If 0 scored, instead allow SC1 for \(x = 8\) with no or insufficient working | “Correct working” requires evidence of at least M1M1A1 or alternate convincing approach FT from an equation with \(x\) on both sides only. their \(x\) must be a positive integer and stated their \(x\) or their length/width may be on the diagram |