List down some key points about area in geometry from the passage given.

1. Area is a unit used to describe how big a region is on a surface.
2. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
3. Area can be interpreted as the quantity of material with a specific thickness required to create a model of the shape or as the quantity of paint required to completely cover a surface in a single coat.
4. It is the two-dimensional equivalent of the volume of a solid or the length of a curve, both of which are one-dimensional concepts. (a three-dimensional concept).