No. A rectangle of 1 x 3 has the same perimeter as a rectangle of 2 x 2, but the areas are different.
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The answer depends entirely on how the dimensions change. It is possible to change the dimensions without changing the perimeter. It is also possible to change the dimensions without changing the area. (And it is possible to change the area without changing the perimeter.)
4x4 square: perimeter - 16 area - 16 6x2 rectangle perimeter - 16 area - 12
When linear dimensions are multiplied by 'K', - perimeter is also multiplied by 'K' - area is multiplied by K2 - volume is multiplied by K3
if your perimeter totals the same as 4 times pi then the maximum area that can be encompassed is equal to the perimeter. This is done by forming a circle. if you change the shape of the circle then the area will become smaller than the perimeter(circumference) if you make the circumference of the circle smaller then you will definitely decrease the area faster than you would the perimeter if you make the perimeter bigger then you will definitely increase the area faster than you would the perimeter.
No the area is not always larger than the perimeter. Ex. The area of a reectangle could be 4 feet. The width could be 4 while the length is 1. The perimeter total would be 10.