The perimeter of the rectangle is given by the formulae,
[tex]Perimeter= 2(l+w)[/tex]
Where
[tex]l = s + \frac{1}{2} [/tex]
is the length and
[tex]w = s[/tex]
is the width of the rectangle.
Now let us substitute into the formula,
[tex]Perimeter= 2(s+ \frac{1}{2} + s)[/tex]
[tex]Perimeter= 2(2s+ \frac{1}{2} )[/tex]
The above expression corresponds to option
F.
Now when we expand the bracket, we obtain,
[tex]Perimeter= 4s+ 1[/tex]
This also corresponds to option A.
The correct answers are
[tex] <B> A and F </B>[/tex]