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The fencing problem.
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| Submitted: Thu Sep 25 2003
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Yr 10 Maths Coursework By Anonymous Table Of Contents Introduction 3 The fencing problem 3 Investigating the relationship between the length of sides and the area 4 Investigating Rectangles 4 Investigating Triangles 7 Investigating the relationship between the number of sides and the area 9 Pentagons 9 Hexagons 12 Heptagons 14 Octagons 16 Nonagons 18 Decagons 20 Results Table 22 Conclusion 23 Introduction The fencing problem A farmer has exactly 1000m of fencing. She wishes to fence off a piece of land but does not know what shape will give her the largest area. I will investigate different shapes to see if I can find out what the maximum area of land can be fenced off with a given length of fencing. Investigating the relationship between the length of sides and the area Investigating Rectangles I will start off this section by testing a variety of different sized rectangles. First I will try rectangles increasing or decreasing in 50's, then in 10's and finally in 5's. Then I will draw a table of the rectangles and finally draw a graph. PREDICTION: I think that none of the rectangles...
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