What are the dimensions of an approach plate plan view in nautical miles? I am writing some software to work with approach plates on a website, but I cannot find the scale of the plan view.

I am trying to convert the position of a plane in latitude and longitude onto the approach plate and keep it to scale.

If I knew how many miles wide each plate was or tall, I could make this happen.

Thank you for the help!
FYI, what you're trying to do is called "georeferencing."

The scale for each plate is whatever is required to fit in all the relevant information without wasting space. Therefore, to properly geo-reference each plate, you will need to identify at least two points (e.g. CUTIS and CFVGK in this case), look up their lat/long in the published tables, and calculate the scale from there.

Note that some charts (more commonly SIDs and STARs than IAPs) are explicitly marked "NOT TO SCALE", which means this tactic can't work at all. And even some charts that are mostly to scale may have a few elements that aren't, usually transition fixes or navaids, marked by a double zigzag.