4MA0 Higher June 2016 Paper 3R Q13
13 Here is the quadrilateral \(ABCD\).
Diagram NOT accurately drawn
Angle \(BAD\) = 90° and angle \(BCD\) = 90°
\(AB\) = 9.8 cm
\(AD\) = 3.6 cm
\(BC\) = 8.4 cm
Calculate the length of \(DC\).
(4)
| Scheme | Marks |
|---|---|
| \(3.6^2 + 9.8^2\) or 109 | M1 |
| \(\sqrt{\text{"}3.6^2 + 9.8^2\text{"}}\) or \(\sqrt{109}\) (=10.4…) | M1 |
| \(\sqrt{\text{"109"} - 8.4^2}\) | M1 |
| 6.2 | A1 |
| (4) |
Notes
M1: A correct first step to find \(DB\)
M1: Accept 10.4(403065...) rounded or truncated to at least 3 SF
A1: oe