The cat boat was derived from a purpose specific sailor, that was repeatedly modified, eventually into a nearly unsailable freak in many cases. If the typical and modestly designed cat, was stretched (not proportionately enlarged), the lines could be made into something fairly reasonable. It would take some serious skill, to know what a reasonable set of distorted cat boat lines would look like, after a stretch and no stretch ratios or formulas will help in this regard. You either know, or you're just guessing, which usually doesn't work out very well.
Again, which design are we talking about? Is it a stretch or an enlargement? Do you really know or are you simply interested in a cat ketch about 30' long? If simply just liking on cat ketch, but wish it to be 30% larger, then look for a 30' cat ketch or discuss you proposal with the designer or another, to produce a new one off. A 30% stretch or enlargement will alter everything so significantly, that everything needs to be redone, so it needs to be re-engineered.