Pb and j array ken has made a selection of square jam sandwiches for a party, which he arranges in a single layer on the table in a perfect rectangle. sarah also bring the same number of sandwiches and places them in a single layer to form a border round kens sandwiches. given that all sandwiches are used how many sandwiches could each person have made? can someone with this asap . i need the answer too read more on -

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

The definition is what is most likely going to be the answer or outcome.

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