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The problem for this investigation is as follows: Farmer Jones has 1000 metres of fencing. What is the maximum area she can enclose?
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PROBLEM: The problem for this investigation is as follows: Farmer Jones has 1000 metres of fencing. What is the maximum area she can enclose? Mathematically, the problem can be interpreted to: Which shape, with a perimeter of 1000 metres, has the largest area? In order to go about answering the question, different types of shapes must be considered. The original question of whether the shape will be a triangle, rectangle, polygon, or circle can be broken down into smaller questions. What will the lengths of the shapes be? If it is a triangle, will it be an Isosceles, an equilateral, or a Scalene? If it is a rectangle, what will the values of the width and length be? And if it is a polygon, will it be a regular or irregular shape? I will take each shape separately, and investigate the different areas found within that particular shape. I will start with three-sided shapes and...
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