4MA0 Higher January 2018 Paper 4 Q11
11 Here is a trapezium.

Diagram NOT accurately drawn
Work out the area of the trapezium.
(4)
| Scheme | Marks |
|---|---|
| \(8.5^2 - 4^2\) (= 56.25) | M1 |
| \(\sqrt{8.5^2 - 4^2}\) or \(\sqrt{56.25}\) or 7.5 | M1 |
\(\dfrac{1}{2}(13 + (13 + \text{“}7.5\text{”}) \times 4\) or 13 × 4 + 0.5 × (7.5 × 4) oe | M1 |
| 67 | A1 |
| (4) |
Notes
M1: A correct method to find area dep on correct use of Pythagoras’ Theorem