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Investigate different shapes of guttering for newly built houses.  

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Introduction For my maths coursework I was required to investigate different shapes of guttering for newly built houses. The purpose of guttering is to catch as much water running of the roof as possible. The guttering for newly built houses needs to have as large an area as possible so it can hold as much rainwater as possible. For the purpose of this investigation the material used for the production of the guttering will have a fixed width of 30cm. I will be investigating 6 different shapes: * Triangle * Rectangle * Square * Semi-circle * Half-octagon * Trapezium Task Guttering A firm has been asked to make guttering for newly built houses. Investigate Plan To investigate which type of shape will hold the maximum amount of water, I will be calculating the area of the cross-section of each different type of guttering. If possible, I will be changing the variables until I find the maximum area for each shape, the variables being length...

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