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I have been set the task of finding equable shapes and eventually find a possible formula for them. I will intend to do this by first using the rule of an equable shape, where the perimeter and the area have the same numerical value
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Maths Investigation Introduction - I have been set the task of finding equable shapes and eventually find a possible formula for them. I will intend to do this by first using the rule of an equable shape, where the perimeter and the area have the same numerical value and extending it to regular polygons. E.g. Taking the sides as X Area = Perimeter X² = 4X X² - 4X = 0 X(X-4) = 0 X = 0 X = 4 I intend to set out the results, eventually in a table and possibly in a graph depending on the type of results I get. I hope to see a pattern in the results so I can predict the results in more complicated shapes. I intend to extend the task to surface area and volume and find a formula for them. I am only going to do regular polygons because irregular polygons could get very complicated and I...
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