The perimeter of the region = Perimeter of the square - 4 x Quarter of a circle
Perimeter of the square = 4 x Length = 4 x 10= 40 inches
[tex]\begin{gathered} \text{Perimeter of one quarter of a circle= }\frac{2\pi r}{4} \\ =\frac{2\times3.142\times2}{4}\text{ = 3.142 inches} \end{gathered}[/tex][tex]\begin{gathered} \text{Perimeter of the shaded region = 40 - 4(3.142) } \\ =40-12.568\text{ =27.432 inches} \end{gathered}[/tex]
