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Fencing problem  

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Syllabus 1387/1388 Higher tier Abdulbasit Asif Edexcel 2003 Coursework Maths GCSE The Task A farmer has exactly 1000 metres of fencing and wants to fence off a plot of level land. She is not concerned about the shape of the plot, but it must have a perimeter of 1000m. So it could be: The Investigation Firstly I will begin with triangles because they are the simplest polygon. To work out the area I need to know the height of the triangle. To work out the height I can use Pythagoras' theorem. Below is the formula and area when using a base of 450m. I will not be using scalene triangles, since there are countless combinations that can be used. H- height, h- hypotenuse, b- half of base H² = h² - b² H² = 275² - 225² H² = 25 000 H = 158.113 883 1/2 × 200 × 158.113 883 = 35 575.623 68 Now I will try with different sized bases and...

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