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The Fencing Problem
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| Submitted: Thu Jul 11 2002
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The Fencing Problem To begin with I am going to look at quadrilaterals, as they are the most simplistic shape to find the area of. To begin with I am going to look at rectangles and I am going to see what rectangle will provide the greatest area, of course I have got to make sure that the perimeter adds up to 1000m. Here are some examples of quadrilaterals that I have tested to see if they have the largest area. From my hand drawn examples I have discovered that the quadrilateral that will have the largest area is going to be a rectangle, so now to speed the process up I am going to use a computer to calculate the answers to some rectangles to try and help me find the maximum area possible. Length Width Area 0 500 0 25 475 11875 50 450 22500 75 425 31875 100 400 40000 125 375 46875 150 350 52500 175 325 56875 200 300 60000 225 275 61875 250 250 62500 275 225 61875 300 200 60000 325 175 56875 350 150 52500 375 125 46875 400 100 40000 425 75 31875 450 50 22500 475 25 11875 500 0 0 As you can see from the table the rectangle that has the largest area is the 250m by...
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