1MA0 Foundation November 2013 Paper 1 Q28
28 \(ABC\) is a triangle.
Angle \(ABC\) = angle \(BCA\).
The length of side \(AB\) is \((3x - 5)\) cm.
The length of side \(AC\) is \((19 - x)\) cm.
The length of side \(BC\) is \(2x\) cm.
Diagram NOT accurately drawn
Work out the perimeter of the triangle.
Give your answer as a number of centimetres. (5)
| Answer | Mark | Notes |
|---|---|---|
| 38 | 5 | M1 \(3x - 5 = 19 - x\) M1 for a correct operation to collect the \(x\) terms or the number terms on one side of an equation of the form \(ax + b = cx + d\) A1 for \(x = 6\) M1 for substituting their value of \(x\) in the three expressions and adding or substituting their value of \(x\) after adding the three expressions A1 cao |