let
x----------> number of square jam sandwiches of Ken in the
side x of rectangle
y---------> number of square jam sandwiches of Ken in
the side y of rectangle
A1-------------> total number of square jam sandwiches of
Ken
A2-------------> total number of square jam sandwiches of Sara
we know that
A1=xy
A2=[(x+2)(y+2)-xy]
A1=A2
xy=[(x+2)(y+2)]-xy------------
> xy=xy+2x+2y+4-xy
xy-2y=2x+4-------- > y=[2x+4]/[x-2]
testing different values of x to get a pair of whole numbers-->
see the table attached I find 2 solutions
1) x=3 and y=10
A1=3*10=30
A2=30
total number of sandwiches of Ken------ > 30
total number of sandwiches of Sara------ > 30
2) x=4 and y=6
A1=4*6=24
A2=24
total number of sandwiches of Ken------ > 24
total number of sandwiches of Sara------ >24
