Answer:
s ∈ (25.5,34.5)
''s'' is in inches unit
s ∈ IR
Step-by-step explanation:
We know that the perimeter of a square is
Where P is the perimeter and s is the length of a side.
We want the perimeter to be greater than 102 inches but less than 138 inches.
We can write :
102 inches < P < 138 inches
If we replace P = 4s in the expression :
102 inches < 4s < 138 inches
Dividing by ''4''
25.5 inches < s < 34.5 inches
If we want the perimeter to be greater than 102 inches but less than 138 inches the length of a side must be greater than 25.5 inches but less than 34.5 inches.
Writing this in interval notation
s ∈ (25.5,34.5)
s ∈ IR