Determining transistor sizes equal to a single inverter

[tdotengineer]

Homework Statement

Determine transistor sizes for (lets say a 2 input nand gate, my actual question is more complicated but i want to know the basic idea so i can do it myself) so that the worst case pull down and pull up is equivalent to a single inverter with Wn = 1 micro m and Wp= 2 Micro m
All transistor lengths are 0.25 micro meters

Homework Equations

Basic Mosfet knowledge should do i guess.

The Attempt at a Solution

i know the solutions, i just don't know how to arrive at it.
My guess was that the equivalent transistor W/L for the PDN or PUN should be the same as the W/L for the PDN or PUN of the inverter. But the numbers don't add up.

 

[tdotengineer]

Guys i think I've got it but I am not sure

the question said WORST CASE... i was basically missing that part.
so now that I've read it carefully I've found out (with working backwards on the solutions) that using the worst case scenario (slowest timing aka lowest equivalent W/L for PDN or PUN of the nand gate) your equivalent w/l of the worst case scenario should equal to the Wp or Wn given in the question.