Noah Posted May 23, 2002 Report Posted May 23, 2002 Just something interesting that I have known about for a long time. If you have a rectangle that is 2 inches wide by 1 inch tall, you have an area of 2 squared inches. If you have a rectangle that is 2.5 inches wide by .5 inch tall it is an area of 1.25 squared inches. However, both have a parimeter of 6 inches! I think that, say you had a loop of string that is 6 inches long, the way you get the most area out of it is having it in a triangle shape. Noah
Qwaddo Posted June 16, 2002 Report Posted June 16, 2002 Circle with radius 0.9549 will give you an area of 2.865.
michaelchang Posted June 17, 2002 Report Posted June 17, 2002 Qwaddo means this. A circle with radius of 0.9549 inches has circumference (perimeter) 6 inches. Area of it is 2.865 inches squared, which is greater than the 1.618 inches squared of a equilateral triangle. This disproves what noah suggested, that a triangle gives the most area with a given perimeter.
Noah Posted June 20, 2002 Author Report Posted June 20, 2002 Ok. I saw this on a TV show when I was 8 or so. The other day I figured the rectangles but not a triangle. Noah
Eugene Posted June 20, 2002 Report Posted June 20, 2002 Qwaddo,Thanks for the explanation; excuse my shortness. Eugene
Recommended Posts