Such as? If you can break the shape up into triangles you can find the area that way. Or, you can get into calculus-based equations if you have an equation for the random shape.
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You would find the area of the inside and outside shape (pretending that the inside shape was not in the outside shape). then, you would take the area of the outside shape and subtract the area of the inside shape.
If the area is that of a circle or a regular polygon (triangle, square, reg pentagon etc) there are formulae that will enable you to do so. If it is any other shape - ellipse, irregular polygon, or worse still a random shape - then the area cannot be found.
Shape of what ?
There is no particular shape for a sqpecified area: it could be circular, or polygonal or any random shape.
To find the area, first divide the shape into regular, simple shapes. Then use formulas to find the area of the smaller, regular shapes. Lastly, add up all the smaller areas to find the area of the original shape.