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Kritisood
Anya bought a cake, which is in the shape of a regular hexagon. She cuts the cake, into two halves, along one of the diagonals which pass through the center of the hexagon. If the length of one side of the cake is “a” cm, what is the perimeter of one of the pieces of the cake?

A. 4a
B. (3 + √3)a
C. 5a
D. (4 + √3)a
E. (4 + 2√3)a

When the cake is cut into two pieces along a diagonal that passes through the center of the cake, the perimeter of each piece consists of 3 sides of the cake and the diagonal of the cake it’s cut along on. Furthermore, since the cake is a regular hexagon, the diagonal that passes through the center of the cake is equal to the sum of the lengths of 2 of the sides of the cake. Therefore, the perimeter of each piece of the cake is 3a + 2a = 5a.

Answer: C
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