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A farmer has 1000 metres of fencing in which he must enclose the largest possible area.
Member rating: No Rating | Words: | Submitted: Thu Jan 13 2005
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PROBLEM: A farmer has 1000 metres of fencing in which he must enclose the largest possible area. I begin this project by investigating various shapes which could be used to enclose the largest possible largest possible area. TRIANGLES To find the area of a triangle, the formula the shape is: 1 However as this is an isosceles triangle, then the height must be worked out in order to find the total area of the shape. USING PYTHAGORAS'S THEOREM TO WORK OUT THE HEIGHT (x) To work out the area of the whole shape the following calculation must be done 1/2 * 223.60679774997897 * 400 = 44721.359549995794m2 or 44.721359549995794km2 By replacing the sides of the triangle with a general formula for working out the area of the triangles can be calculated. As the triangle is isosceles two opposite sides of the triangle can both no called a. As the perimeter of the whole triangle must be 1000m, the based...
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