Final answer:
The statement regarding the adjacent area being equal to the depth of the trench on either side is false, as there is no standard that specifies this, especially in the context of ocean trenches or military trenches.
Step-by-step explanation:
The statement about the adjacent area being an area on either side of the trench cut equal to the depth of the trench is false. When referring to actual trenches, such as military trenches in history, or oceanographic features such as a sea trench, the adjacent area does not have a standardized width equal to the trench's depth. This would vary depending on the specific design or natural formation. In oceanography, a trench is a topographic depression of the sea floor, and it doesn't have a corresponding 'adjacent area' defined in the way the statement suggests.