the perimeter p of a square is directly proportional to its side s
Answers
Answer:
The perimeter of a polygon is defined as sum of length of all the sides of
that polygon.
Since the length of all the side in the square are equal and given as s. hence the perimeter P of the square can be given as:
P=8+8+8+8
P=48
P = 4
Since the ratio P/s is constant, hence we can say that the perimeter of a square is directly proportional to the length of a side.
(a) Following equation shows this direct proportionality relationship:
P = 4s
(b) If one variable is directly proportional to the other variable, then the ratio of both variables is constant and equal to the constant of proportionality Since
P
Hence the constant of proportionality for the perimeter of a square and length of it's side is 4.
(c) Let us say that the length of the side is increased by As, then the change in the parameter can be computed as:
P+AP = 4(8 + As) P+AP = 48 + 4As
AP = 4As
(Since P = 4s)
As we can see the change in parameter is equal to constant of proportionality times the change in the length of a side.
Step-by-step explanation:
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answer :
perimeter of square = 4×s
P = 4s
P/s=4