The perimeter of the given rectangle is:
![(2x+2*30)\operatorname{cm}=2x\text{ cm+60 cm.}]()
Since the perimeter must be equal to or smaller than 70 cm we can set the following inequality:

Solving the above inequality for x, we get:

Answer: Recall that x must be greater than zero since it is the length of the side of the rectangle, then
[tex]0