Stewart's birthday is in February and he wants a nine inch by twelve inch rectangular birthday cake with chocolate icing and yellow icing as shown in the diagram below.   There is no icing on the sides.


The yellow icing must be a constant width all around the cake, and the amount of chocolate icing must equal the amount of yellow icing.

Determine the width of the yellow icing.
You must show your algebra and geometry to get credit for this problem.



            Send your solution by the end of the month to: David Pleacher