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Introduction A farmer has 1000m of fencing and he needs to know which shape encloses the largest possible area inside this 1000m of fencing. I will be experimenting with a variety of different shapes, eventually I will be able to observe a trend or pattern and then I can find out which shape gives the largest area. Plan It will be necessary for me to begin with the simplest shape so that I can work out the area and then I can gradually build upon that with other shapes. The formulae for working out the area of a particular shape is the length * Width. I have decided to start with the rectangle. I chose to begin with the rectangle because in my opinion it is the simplest shape to work out its area. Whilst I am experimenting with the rectangle, I can notice what the area of a square will give; and...

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