What is the term for permission to use land in a way that does not comply with the dimensional requirements of zoning ordinances?

The term that refers to permission to use land in a manner that does not adhere to the dimensional requirements of zoning ordinances is an area variance. An area variance allows for modifications in the zoning regulations that specifically relate to the size, shape, or placement of a building or structure on a property, rather than its intended use. This could include adjustments in side yard setbacks, building height, or lot coverage, among other dimensional aspects.

In contrast, a use variance would allow an applicant to use the property for a purpose that is not otherwise permitted in the zoning district, while conditional use permits relate to specific conditions under which a property may be used consistent with the zoning laws. Setback relief typically refers to specific adjustments or exemptions regarding the required distance a building must be set back from property lines. Thus, area variance is the correct term for modifications related specifically to the dimensional aspects of property usage.