[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
Perimeter of given figure is equal to :
Perimeter of square - side length + quarter Circumference of the circle
that is :
[tex]\qquad \sf \dashrightarrow \:(10 \times 4) - (5 + 5) + \dfrac{2 \pi r}{4} [/tex]
[tex]\qquad \sf \dashrightarrow \:40- 10 + \dfrac{3.14 \times 5}{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:30+ \dfrac{15.7}{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:30 + 7.85[/tex]
[tex]\qquad \sf \dashrightarrow \:37.85 \: \: units[/tex]
So, the required perimeter is 37.85 units
