Questions about adaptation of patch antenna!

hi
Adaptation of a patch antenna, I have some questions

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1-how to calculate the length of the microstrip line feed ? (look image)

2-how to calculate the width of the two slots caused by the notch ?(look image)

thank you!
and for adaptation with quarter wave
../imgqa/eboard/EM/EM-u25moq2yn4t.jpg

1-how to calculate the length of transmission line of 50 ohm?
2-and for quarter wave line , we will use effective permitivity including width of the line of quarter wave , and not use the effective permitivity of the patch antenna ?

goodbye and thnk's

useful tools http://www.emtalk.com/tutorials.htm

THANK YOU SUNNY.
but i search formulas , or estimations to calculate what I asked(look at the link)

if someone could clarify...