I have found various answers all over. No official dimensions exist but plent of leagues play by it. Some manufacturers call it a "mat" or a "home plate extension" or a "carpet." One league even mandates a gap the size of a softball between the mat and the plate. I'm making my own and we won't be playing with a gap. So, the dimensions I have decided to use to make my own are 17" wide (same as home plate) and 26" long. The notch in it is 8.5" deep to match the shape of the plate. The new total rectangle dimentions including home plate thus will be 17" wide by 34.5" long (8.5" side edge length of the plate + 26" extension).
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17 inches wide and 17 inches long. The sides are 8 1/2 inches to the point the angle starts to the tip.