If you are asking how the perimeter of an object changes if the whole object is proportionally changed: The perimeter changes by the same factor as the change in proportion of the whole object.
For example: given a square that is 2 units by 2 units, changed by a factor of four, the new size would be 8 units by 8 units. The original perimeter was 2+2+2+2=8. The new perimeter is 8+8+8+8=32. So, multiplying the original perimeter, 8, by the factor of proportional change, 4, we get 8x4=32.
For any object, multiply the original perimeter by the factor of proportional change to arrive at the new perimeter.
Change in area = (change in sides)2
If it is a 2-dimensional figure then it is proportional.
The perimeter, being a linear measure, also changes by a factor of 3.
Yes. The perimeter is a measure of the combined length of all the sides. If you double the lengths of the sides then naturally this will also necessarilychange the perimeter (it will double the perimeter).
The absolute value of the perimeter doesn't change, only the unit value which increases by a factor of 3.
Change in area = (change in sides)2
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.)
If the new linear dimensions are k times the old dimensions, then the new area is k2 times the old area.
If it is a 2-dimensional figure then it is proportional.
The perimeter, being a linear measure, also changes by a factor of 3.
Yes. The perimeter is a measure of the combined length of all the sides. If you double the lengths of the sides then naturally this will also necessarilychange the perimeter (it will double the perimeter).
The absolute value of the perimeter doesn't change, only the unit value which increases by a factor of 3.
Yes, the perimeter of a rectangle can be larger than its area. For example, consider a rectangle with dimensions 1 unit by 1 unit, which has a perimeter of 4 units and an area of 1 square unit. As the rectangle's dimensions change, especially when one dimension is much larger than the other, the perimeter can exceed the area even more significantly.
If you change the scale factor of a geometric figure by a factor "x", that is, keeping the new figure similar to the old one, the perimeter (which is also a linear measurement) will change by the SAME factor "x".Note that any area will change by a factor of x squared.
A perimeter that will not change.
Strain is the change in dimensions per unit original dimensions. For example, if your stretch a 100 cm long wire by 5 cm, Strain = 5/100 = 0.05
The speed at which a reactant will change to a product is proportional to its concentration. This relationship is described by the rate law of the reaction. Changes in other factors, such as temperature and the presence of catalysts, can also affect the reaction rate.