Area size of room with curved walls

[barkest]

Hi

 

is it possible to create a 2d shape with the bounds of 2 curved walls based on area alone (see attached).

 

There are two curved walls and the rooms are inside the walls with a specified area and there are several rooms following the curve inside.

 

Its a student prob I have that I have come up with a manual workaround but although its close its not precise and its manual effort.

 

thank you