Option A and Option F
The expressions that represent the perimeter of rectangle are 4s + 1 and [tex]2(2s + \frac{1}{2})[/tex]
Solution:
From figure,
Length = s
Width = [tex]s + \frac{1}{2}[/tex]
The perimeter of rectangle is given as:
perimeter = 2(length + width)
Substituting the values we get,
[tex]perimeter = 2(s + s + \frac{1}{2})\\\\perimeter = 2(2s + \frac{1}{2})[/tex]
Thus option F is correct
On further simplification,
[tex]perimeter = 2(2s + \frac{1}{2})\\\\perimeter = 4s + 2(\frac{1}{2})\\\\perimeter = 4s + 1[/tex]
Thus Option A is correct