Answer: Option A
Perimeter of rectangle :
$$\eqalign{
& = \left[ {2\left( {8 + 7} \right)cm} \right] \cr
& = 30\,cm \cr} $$
Perimeter of square :
$$\eqalign{
& = \left( {2 \times 30} \right)cm \cr
& = 60\,cm \cr} $$
Side of the square :
$$\eqalign{
& = \left( {\frac{{60}}{4}} \right)cm \cr
& = 15\,cm \cr} $$
Radius of the semi-circle $$ = \left( {\frac{{15}}{2}} \right)cm$$
∴ Circumference :
$$\eqalign{
& = \left( {\frac{{22}}{7} \times \frac{{15}}{2}} \right)cm \cr
& = \left( {\frac{{165}}{7}} \right)cm \cr
& = 23.57\,cm \cr} $$