BE, none of us intend to be picking on you. That said, it appears that you are more interested in what the boat will look like than your interest in best and most proven lines for a boat of that type. That mindset is a familiar one here on the forum. You seem determined to have the boat to look like what you want it to look like. I say go for it then.
Please do not take offense for what is written above. I repeat, we are not here to give anyone a hard time.
I am trying to design a small (12'x4') ply-on-frame flat bottom skiff that can plane on somewhere around 6-8 horsepower and go about 10mph. Would it be better to have the transom be nearly as wide as the widest part of the hull, or significantly narrower to achieve this? I keep seeing people say both.
a flat bottom plywood skiff is a flat bottom skiff, a v bottom aluminum boat is a v bottom aluminum boat.
i just want advice on how to design a flat bottom plywood skiff, not what v bottom aluminum boat i should be buying instead
The original posters query was to find out if a wide or narrow "transom width" or chine width would be better to enable planing at low horsepower. It was later that the OP said that the purpose was to build a boat of a particular shape and
never again mentioned the parameters that he introduced in his initial post.
I introduced the picture of the Lund as it was the target length of his sketch but exhibited those design elements that have been proven for 3/4 of a century, whether is is built of aluminum or wood or fiberglass. No one is suggesting
which aluminum boat to buy.
Lund boats have an almost zero deadrise in the wetted surface area when planing. So it is not a V hull.
So, going back to the first post, if you are trying to attain a reasonable speed with an 8 - 10 horsepower flat bottom hull, a wider chine width with parallel chines in the aft 2/3's will be able to provide the best speed or load carrying capacity
than a narrow chined boat.
With the change of goal to build a boat with your sketch with the very narrow planing area, performance MAY be compromised/unobtainable.
With the original parameters AND including the new desirable shape, and accepting a compromise on performance, then build your "shape" but use a wider chine width.
As Messabout said, no one is trying to give you a hard time or suggesting which boat to buy, but rather some basic design parameters to help your build