Answer with explanation:
→A polygon is a simple closed curve. So , a closed curve occupies area.
⇒When we use the word area, it describes two dimensional closed geometrical object.It is not necessary that ,the shape is polygon only, it should be a simple closed curve.For,example, Circle, Combination of Part of curve and line segments, but it should be a closed curve.
⇒There are some open curves , which occupies area ,but the curve is not closed from both sides, so we can't predict it's area precisely.Therefore , open curves does not come into consideration when we use the word area.
Therefore, Here "Sometimes" word is used.
So, Yes ,Selecting either a polygon or an area will sometimes reveal the area
→True Statement