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The fencing problem.
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| Submitted: Mon Nov 17 2003
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Maths Coursework I am going to carry out this investigation. I have realised that I must investigate the following shapes: * Squares * Rectangles * Triangles * Circles * Parallelograms * Polygons * Hexagons My interpretation of the question: "There is ONLY 1000m of fence, and therefore she needs to have a perimeter of 1000m, however this shape must have the biggest possible area". Square Perimeter = 1000m Therefore Side = 250m Therefore Area = 62500m2 There is only one type of square with the perimeter of 1000m, thus this has the maximum area of 62500m2. Rectangles L (m) W (m) Perimeter (m) Area (m2) 100 400 1000 40000 200 300 1000 60000 150 350 1000 52500 125 375 1000 46875 250 250 1000 62500 The graph shows how as the length increases the area increases, and there it shows the maximum area for a rectangle of perimeter 1000m. The rectangle with sides 200m and 300m produce a perimeter of 1000m and an area of 62500m2. However, this area does not beat that of the square which therefore means the square is the best shape so far. Triangles There are three types of...
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