page 06 MARKS 8. A rectangular plot consists of a rectangular pond surrounded by a path. The length and breadth of the plot are x metres and y metres respectively. The path is 1.5 metres wide at the ends of the pond and 1 metre wide along the other sides as shown. 1 m 1 m 1.5 m 1.5 m x y pond The total area of the pond and path together is 150 square metres. (a) Show that the area of the pond, A square metres, is given by 450 156 2 A x x x . (b) Determine the maximum area of the pond. 3 6
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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.
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