1MA0 Higher November 2012 Paper 1 Q16
16 The diagram shows a triangle.

Diagram NOT accurately drawn
In the diagram, all the measurements are in metres.
The perimeter of the triangle is 56 m.
The area of the triangle is \(A\) m\(^2\).
Work out the value of \(A\). (4)
| Answer | Mark | Notes |
|---|---|---|
| 84 | 4 | M1 for \(x - 1 + 3x + 1 + 3x\) (= 56) or \(7x = 56 + 1 - 1\) or \(\dfrac{3x(x - 1)}{2}\) oe M1 for \(7x = 56\) or 8 seen M1 for \(0.5 \times\) (‘8’ – 1) × (3 × ’8’) A1 cao Ignore any statement of units. SC B2 for 8 as the answer or 7 identified as the height and 24 identified as the base of the triangle. |