Question

A cake with a regular hexagonal top is sliced along each of its 9 diagonals what percent of the resulting 24 pieces are triangles

Answer 1

 i guess it means that its a cake with a top shaped like a hexagon. if you were to use paper and cut out a hexagon then fold it, you would find out that it has 9 diagonals(meaning that you are able to fold it equally into 9 pieces). when it is unfolded, you will see 24 pieces and you will have to figure out which of the 24 pieces are triangles and which are not. after that, you calculate the percentage of triangles. 

after you are finished with the paper, you apply the information to the cake. 
i'm not sure if this is right, but you can try it out.

Answer 2

6 of them are quadrilaterals 18 are triangles