Answer:
The possible values of <em>S</em><em> </em>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 = 4<em>s</em>
We intend to find the values of <em>s</em><em> </em>such that:
148 < 4<em>s</em><em> </em>
¹⁴⁸⁄₄ < ⁴<em>ˢ</em>/₄
37 < <em>s</em><em> </em>
Also:
4<em>s</em> < 196
<em>s</em><em> </em>< ¹⁹⁶⁄₄
<em>s</em><em> </em>< 49
Therefore:
37 < <em>s</em><em> </em>< 49.
The possible values of <em>s</em><em> </em>are the values between 37 and 49. (Excluding 37 and 49.)