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Maths Coursework Fencing problem I have been asked to investigate the maximum area enclosed by 1000 metres of fencing. To do this I need to use various shapes, to start with a square. Secondly I shall look at rectangles. Rectangle Length (M) Height (M) Area (M ) A 450 50 22500 B 400 100 40000 C 350 150 52500 D 300 200 60000 E 250 250 62500 F 200 300 60000 The biggest quadrilateral in the table was E which is a square, meaning the square has a larger area than rectangles. I only investigated six rectangles as after E the rectangles have the same numbers but on different sides. This means the area would be the same and so it was pointless to continue at this rate of increase so I looked into it further to see if I was able to find a bigger area. I also put these results into a table. Rectangle Length (M) Height (M) Area (M ) G 290 210 60900 H 280 220 61600 I 270 230 62100 J 260 240 62400 After investigating further I found no rectangle with a larger area. I decided not to investigate further as the closer the measurements get...

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