The perimeter of an image is given by the sum of all the sides' length.
A regular pentagon has 5 sides with the same length, therefore its perimeter is given by 5 times the length of its side.
If the side of the regular pentagon is 1/4 meters, its perimeter is given by:
[tex]\begin{gathered} P=5\cdot s \\ P=5\cdot\frac{1}{4} \\ P=\frac{5}{4}\text{ meters} \end{gathered}[/tex]So the perimeter of the pentagon is 5/4 meters.
