The circumference of a rectangle is 12. Let its length be y and width be X. try to find the functional relationship between Y and X and write out the value range of the independent variable

The circumference of a rectangle is 12. Let its length be y and width be X. try to find the functional relationship between Y and X and write out the value range of the independent variable


∵2x+2y=12
∴x+y=6
∴y=-x+6
0<x<6



The length of a rectangle is xcm, and the width is 4cm less than the length. If the perimeter of the rectangle is greater than 32cm, what is the value range of X?


The width of the rectangle is (x-4) cm
The perimeter of the rectangle is [x + (x-4)] × 2 = (4x-8) (CM)
According to the meaning of the title:
4x-8﹥32
4x﹥40
x﹥10
Therefore, the value range of X is x > 10