Any two-dimensional object is measured in units of:

The correct response is grounded in the fundamental principles of geometry and measurement. A two-dimensional object is defined by its length and width, but it does not have any depth or height. Therefore, we measure the extent of these dimensions to determine how much surface area the object covers.

Area is specifically the measurement used to quantify the size of a two-dimensional space, typically expressed in square units such as square meters, square centimeters, or square inches. This measurement provides a clear understanding of how much space the object occupies on a flat plane, making it the appropriate unit for describing the extent of a two-dimensional object.

In contrast, the other options pertain to different types of measurements. Volume measures the capacity of a three-dimensional object, weight refers to the force exerted by gravity on an object, and length typically denotes a one-dimensional measurement of distance. Therefore, area is distinctly the accurate unit for measuring two-dimensional entities.