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Area of a Rectangle


Noah
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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

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  • 4 weeks later...

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.

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