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A-Level MathematicsYear 2016Q7

Page 06 MARKS 7. A council is setting aside an area of land to create six fenced plots where local residents can grow their own food. Each plot will be a rectangle measuring x metres by y metres as shown in the diagram. y x (a) The area of land being set aside is 108 m2. Show that the total length of fencing, L metres, is given by ( ) 144 9 L x x x = + . (b) Find the value of x that minimises the length of fencing required. 3 6

Mathematics A-Level Diagram
Paper Source:NH_Mathematics_all_2016.pdf

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Exam Specification Info

This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.

Syllabus levelAdvanced Level (A-Level)
SubjectMathematics
Official MarksVariable (2–6 marks)