The perimeter of a square must be greater than 148 inches but less than 196 inches. Find the range of possible side lengths that satisfy these conditions. (Hint: The perimeter of a square is given by P=4s, where s represents the length of a side).

The possible values of s are the values between 37 and 49(Excluding 37 and 49)

Step-by-step explanation:

If the perimeter of the square must be greater than 148 inches but less than 196 inches.

And Perimeter of a Square=4s

We intend to find the values of s such that:

148<4s<196

Solving the first part

148<4s

148/4<4s/4

37<s

Also

4s<196

s<196/4

s<49

Therefore:

37<s<49

The possible values of s are the values between 37 and 49(Excluding 37 and 49)