X = measure of each of the legs "perimeter is 8 more than 2 times one of the legs" ---> P = 2x+8 P = 28 is the given perimeter
So, P = 2x+8 28 = 2x+8 2x+8 = 28 2x = 20 x = 10
If x = 10, then the two legs add up to x+x = 10+10 = 20 Leaving P-20 = 28-20 = 8 inches left over for the base
You have the correct answer (choice D, 8 inches) though your steps are a bit confusing at some parts. Such as the part where you wrote 2x = 10 twice. I think I know what you were trying to say.
