4400 Higher June 2010 Paper 4 Q7
7 Rectangular tiles have width \((x + 1)\) cm and height \((5x - 2)\) cm.
Diagram NOT accurately drawn
Some of these tiles are used to form a large rectangle.
The large rectangle is 7 tiles wide and 3 tiles high.
Diagram NOT accurately drawn
The perimeter of the large rectangle is 68 cm.
(a) Write down an equation in \(x\). (3)
(b) Solve this equation to find the value of \(x\). (3)
| Scheme | Marks |
|---|---|
| \(7(x + 1)\) or \(3(5x - 2)\) | M1 |
| \(7(x + 1) + 3(5x - 2)\) | M1 |
| \(7(x + 1) + 3(5x - 2) = 34\) oe | A1 |
| (3) |
Notes
M1: or doubled or mult out correctly
M1: or doubled or mult out correctly (and stated intention to +)
A1: i.e. \(14(x + 1) + 6(5x - 2) = 68\) (can isw)
| Scheme | Marks |
|---|---|
| \(7x + 7\) or \(14x + 14\) or \(15x - 6\) or \(30x - 12\) | M1 |
| \(22x = 33\) or \(44x = 66\) | M1 |
| 1.5 oe | A1 |
| (3) | |
| (6 marks) |
Notes
M1: can be awarded from (a)
M1: s.c. M1 for \(22x = 67\)
A1: cao dep on M2 scored