Diameter$$=10$$cm
$$\therefore$$ Radius$$=\dfrac{10}{2}=5$$cm
According to question,
Perimeter of figure$$=$$Circumference of semi-circle$$+$$ diameter
$$=\pi r+D$$
$$=\dfrac{22}{7}\times 5+10=\dfrac{110}{7}+10$$
$$=\dfrac{110+70}{7}=\dfrac{180}{7}=25.71$$cm.
Thus, the perimeter of the given figure is $$25.71$$cm.