Can you cut a cake fairly to solve this middle school math problem?

[popeyespappy]

Only if the icing is spread unevenly. Is that part of the problem? If she did spread it unevenly, and everyone's going to bicker about wanting exactly the same amount of cake and icing, then just spread it evenly then cut. Or tell people to not be petty.

When Poca, Alex, Rob and Whatshisname came for a visit, Losty baked a cake.  It was a square cake which she frosted on the sides and on top with yummy cream cheese frosting.

The OP specified icing on the top and on the 5 cm high sides of the cake. If you cut it the way you described everyone is going to get 802 cm of icing on the top of the cake, the pieces in the middle will get an additional 402 cm of icing on the sides, and the two pieces on the end are going to get an additional 1402 cm of icing on the sides. That's 1202 cm of icing total on the middle pieces and 2202 cm of icing total on the end pieces.