Foundation January 2023 Paper 2 Q19
19 The diagram shows rectangle \(ABCD\)
Diagram NOT accurately drawn
Work out the perimeter of the rectangle.
Show your working clearly.
(4)
| Scheme | Marks |
|---|---|
| eg \(5x - 1 = 3x + 7.4\) oe or eg \(10x - 2 + 48\) or \(6x + 14.8 + 48\) or \(24 + 24 + 5x - 1 + 3x + 7.4\) oe | M1 |
| \(x = 4.2\) | A1 |
| 2 × 24 + 2(5 × “4.2” – 1) oe or 2 × 24 + 2(3 × “4.2” + 7.4) oe or 2 × 24 + (5 × 4.2 – 1) + (3 × 4.2 + 7.4) oe eg 24 + 24 + 20 + 20 oe | M1 |
| working required Answer: 88 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: a correct equation to find \(x\)
or
a correct expression for the perimeter in terms of \(x\)
A1: the correct value of \(x\)
(implies previous mark)
M1: dep on a correct method to find the perimeter – use of positive \(x\) from correct working (1st M1 awarded for an equation) and only if used the same measurement for \(AD\) and \(BC\)
A1: cao dep on either M1 or \(x = 4.2\)