| Exam Board | AQA |
| Module | C1 (Core Mathematics 1) |
| Year | 2014 |
| Session | June |
| Marks | 4 |
| Topic | Indices and Surds |
2 A rectangle has length \(( 9 + 5 \sqrt { 3 } ) \mathrm { cm }\) and area \(( 15 + 7 \sqrt { 3 } ) \mathrm { cm } ^ { 2 }\).
Find the width of the rectangle, giving your answer in the form \(( m + n \sqrt { 3 } ) \mathrm { cm }\), where \(m\) and \(n\) are integers.
[0pt]
[4 marks]