It is the responsibility of the buyer and/or buyer's agent to verify all dimensions, zoning, school zoning, and square footage. Whatever a buyer does to verify those things are part of their due diligence period, and if the results aren't satisfactory to the buyer, the contract may be cancelled on that basis. You usually have 14 days or so to complete your due diligence.
If the seller is being that uncooperative, or you have fears about the repairs being done correctly and professionally, just walk away from the home. In Las Vegas, we have more than 20,000 homes listed just in the MLS not counting FSBOs and non-MLS listings. I am sure that you can find a seller that will appreciate your business, find another home!
You can not, however, cancel any contract because you don't end up liking the other party or question their ethics, FYI...