PB and J ArrayKen 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 help with this ASAP please. I need the answer too Read more on Brainly - https://brainly.com/sf/question/8797022

Question
Answer:
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

solved
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