Answer
Area is: \[\underline{27.52\text{ i}{{\text{n}}^{2}}}\].
Work Step by Step
Radius of circle is 4 inches. Therefore, the length of the rectangle is 16 inches and the breadth of is 8 inches. Now, compute the area of the Shaded Region as mentioned below:
\[\text{Area of Shaded Region}=\text{Area of Rectangle}-\text{Area of 2 circles}\]
\[\begin{align}
& \text{Area of shaded region}=\text{Length}\times \text{Breadth}-\text{2}\pi {{\text{r}}^{2}} \\
& =\left( 16\times 8 \right)-2\times \pi \times {{4}^{2}} \\
& =128-32\pi \\
& =128-32\times 3.14
\end{align}\]
Therefore, the area of shaded region is \[\underline{27.52\text{ i}{{\text{n}}^{2}}}\]
