Minimum Lot Size / Minimum Building Size
The City of Houston – Planning and Development
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http://www.houstontx.gov/planning/Neighborhood/prevailLotBldg.html
What is a Minimum Lot Size (MLS)?
A special minimum lot size is the minimum lot size standard currently met by at least 70% of the application area. Applications from City designated Historic Districts use the slightly lower threshold of 60%. By establishing this standard, lots cannot be subdivided below the “special minimum” lot size in the designated area. For instance, if 5,000 square feet was established as the special minimum lot size, a lot could not be divided into lots smaller than that size.
If your lot is already smaller than the special minimum lot size, you will not be penalized. Existing structures may remain and can be replaced at any time without special permission. New structures that conform to the platting and building codes may be constructed without special permission.