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The Fencing Problem.
Member rating: No Rating | Words: | Submitted: Tue Jul 13 2004
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The Fencing Problem Aim: 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 the perimeter of 1000m. She wishes to fence off the plot of land which contains the maximum area. Investigate the shape or shapes which could be used to fence the maximum area using exactly 1000m of fencing each time. I started with the easiest shape first which was the square. Here are some abbreviations which may be used. p= perimeter a= area h= height b= base l= length w= width c=hypotenuse r= radius x = unknown number n= number of sides Square: To find the length of the sides and have the perimeter of 1000m I did 1000 = 250m 4 I then checked this would give the perimeter of 1000m by doing 250+250+250+250=1000 To find the area of a square you do width x length 250 x 250 = 62500mē Rectangles: p=50+50+450+450=1000 a=50...
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