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Investigation to find out which type of shape creates the biggest area within a certain perimeter.
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| Submitted: Fri Sep 05 2003
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ARRON DICKENS 18/9/02 MATHS COURSEWORK INVESTIGATION: TO FIND OUT WHICH TYPE OF SHAPE CREATES THE BIGGEST AREA WITHIN A CERTAIN PERIMETER. SQUARES AND RECTANGLES THE AREA OF A SQUARE IF FOUND BY MULTIPYING THE LENGHTS OF TWO SIDES TOGETHER AS SHOWN BELOW; 250m 250m IF YOU CREATE A SQUARE WITH SIDES OF 250m EACH, (AS ABOVE) THE TOTAL PERIMETER IS 1000m AND THE TOTAL AREA EQUALS; 250m x 250m = 62,500m2 1000m IS TOTAL PERIMETER THAT I NEED TO USE FOR ALL MY SHAPES TO SEE WHICH TYPE OF SHAPE CREATES THE BIGGEST AREA. BECAUSE I NEED TO FIND THE HIGHEST POSSIBLE AREA, I WILL NEED TO TRY IRREGULAR SHAPES AS WELL AS REGULAR POLYGONS. IF I TAKE A RECTANGLE AND SEE IF THE AREA OF ANY OF THESE RECTANGLES IS BIGGER THAN THAT OF A REGULAR FOUR SIDED SHAPE (SQUARE ABOVE) THEN I WILL SEE THAT IRREGULAR SHAPES ARE MORE LIKELY TO CREATE A BIGGER AREA. BELOW IS A NUMBER OF EXAMPLES...
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