4400 Higher November 2007 Paper 3 Q3
3 A triangle has two equal sides of length \(2x\) cm and one side of length \(x\) cm.

Diagram NOT accurately drawn
The perimeter of this triangle is 12 cm.
(i) Use this information to write down an equation in \(x\). (1)
(ii) Solve your equation to find the value of \(x\). (2)
| Scheme | Marks |
|---|---|
| (i) Answer: \(2x + 2x + x = 12\) | B1 |
| (ii) \(5x = 12\) | M1 |
| \(x = 2.4\) | A1 |
| (3) | |
| (3 marks) |
Notes
B1: oe ISW allow in (ii) if not contrad in (i)
ignore units
M1: allow in (i) if not contrad in (ii)
\(4x = 12\) SC1
A1: \(x = 2.4\), no wking: B0M1A1