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Mathematics Coursework - Fencing Introduction: A framer has a farm that he needs to fence, and I need to investigate and look for the largest area of a plot with the perimeter of 1000 meter. I will start from triangle the least sided shape. (All diagram not drawn to scale) Triangles: Equilateral Triangle: A triangle that has the same length on every side is known as an equilateral triangle. Formula: (Base x Height) ?2 Equilateral Triangle 1: Height: H2+ 166.72 = 333.32 (Pythagoras Theorem) H2 = 111088.89 - 27788.89 H2 = 83300 H = 288.6m (1 d.p.) Area of triangle: (288.62 x 166.7) m = 48112.5m2 (1 d.p.) Isosceles Triangles: Isosceles triangle means a triangle that has two same lengths on the side and the bottom two angles will be the same. Formula: (Base x Height) ?2 Isosceles Triangle 1: Sides 262.5 Base 475 Perimeter: (2 x 262.5 + 475) m = 1000m Height: H2 + 237.52 = 262.52 H2 = 68906.25 - 56406.25 H2 = 12500 H = 111.8m (1 d.p.) Area...

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