Concept: To calculate the area of the fugure, we are going to calculate the area of the two semicircles and also calculate the area of the rectangle and then add them up together
The formula used to calculate the area of a semicircle is
[tex]\begin{gathered} A_{\text{semicircle}}=\frac{\pi r^2}{2} \\ \text{where,} \\ \pi=3.14 \\ r=1 \end{gathered}[/tex]The formula used to calculate the area of a rectangle is
[tex]\begin{gathered} A_{\text{rectangle}}\rbrack=\text{length}\times breadth \\ \text{where,} \\ \text{length}=12 \\ \text{breadth}=1+1=2 \end{gathered}[/tex]By substituting the values in the formulas, we will have
[tex]\begin{gathered} A_{\text{semicircle}}=\frac{\pi r^2}{2} \\ A_{\text{semicircle}}=3.14\times1^2 \\ A_{\text{semicircle}}=3.14\text{unit}^2 \end{gathered}[/tex][tex]\begin{gathered} A_{\text{rectangle}}\rbrack=\text{length}\times breadth \\ A_{\text{rectangle}}=12\times2 \\ A_{\text{rectangle}}=24\text{unit}^2 \end{gathered}[/tex]Hence,
The area of the shape will be
[tex]=A_{\text{rectangle}}+A_{\text{semicircle}}+A_{\text{semicircle}}[/tex]By substituting the values, we will have
[tex]\begin{gathered} =A_{\text{rectangle}}+A_{\text{semicircle}}+A_{\text{semicircle}} \\ =24\text{unit}^2+3.14\text{unit}^2+3.14\text{unit}^2 \\ =30.28\text{units}^2 \end{gathered}[/tex]Hence,
The final answer is = 30.28unit²