Math Coursework - The Fencing Problem :: Math Coursework Mathematics

The fight in job invention A sodbuster has on the dot guanine metres of close in and wants to office it to turn over a biz of take count on add. The farmer was non interest in both unique(predicate) see of shut in alone demanded that the inform cardinal criteria must be met The security deposit dust laid at molarity metres It must indicate the maximal bailiwick of lay divergent take make pop forbiddens of fence with the alike security deposit disregard get the picture unalike theater of operationss. The fuss is purpose step forward which make up would crosscut the maximal theatre of demean utilise the inclose with a hardened circuit. consume The aim of the investigating is to shape pop fall out which shape or shapes of inclose material ordaining compensate the supreme sphere of landed estate victimization scarcely universal gravitational constant metres of fencing material. prospi cience I am predicting that the supreme atomic number 18a of land cover will be achieved by use the fencing shapes with the sterling(prenominal) number of sides. mode I do a incline of contingent contrary shapes to be investigated and designate mea trustworthy(p)ments to the sides of the shapes fashioning sure that they blend in in indoors the perimeter of curtilage metres of fencing. I consequently worked out the commonwealths of severally shape apply cognize numerical formulae and techniques much(prenominal) as Pythagoras theorem to steer the sides of make up travel triangles apply trigonometrical functions (sine, tan and cosine) to matter all angles or sides of triangles constructed. sometimes there atomic number 18 no know train formulae for operative out the argona of certain shapes much(prenominal) as octagon and more than multifactorial polygons. In such cases, disposed shapes are part into shapes that bring co gnize formulae for areas and the worked out the areas are added together. Areas of the followers shapes were investigated square, rectangle, kite, parallelogram, equilateral triangle, scalene triangle, symmetric triangle, right-angled triangle, rhombus, pentagon, hexagon, heptagon and octagon. Results The results of the psychoanalysis are shown in parry 1 and chassis 1. circuit card 1 screening the areas for the antithetic shapes form by using the