AQA C1 2014 June — Question 2 4 marks

Exam BoardAQA
ModuleC1 (Core Mathematics 1)
Year2014
SessionJune
Marks4
TopicIndices 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]