Given:-
An reatacngle with a half sphere at one side.
To find:-
The perimeter of the given image.
Now we are going to find the perimeter of the half sphere. The formula to find half sphere is,
![\pi r+d](https://img.qammunity.org/2023/formulas/mathematics/college/sjzywcg8u9g06wfs1z3l6tfsm8zm0bh691.png)
Where r is radius and d is diameter.
The radius of the sphere is 2.5 and the diameter is 5. Substituing the values we get,
![\begin{gathered} \pi r+d=3.14*2.5+5 \\ \text{ =12.85} \\ \text{ =12.9} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/f2ucuib566sb0585yxw1hmckmn4k222874.png)
Now we find the perimeter of the rectangle below. we get,
![5+5+5=15_{}](https://img.qammunity.org/2023/formulas/mathematics/college/eihl6ehbsvu4kdz2s00lhr2cx69yhy0dz6.png)
Now to get the total perimeter we need to add both the values. so we get,
![12.9+15=27.9](https://img.qammunity.org/2023/formulas/mathematics/college/xshwf74cxzfgkaln7wv9dzpdfvbdxv5mum.png)
So the required perimeter is 27.9