AMC 8 2007 Problem 12

A unit hexagram is composed of a regular hexagon of side length $1$ and its $6$ equilateral triangular extensions, as shown in the diagram. What is the ratio of the area of the extensions to the area of the original hexagon?

$\mathrm{(A)}\ 1:1 \mathrm{(B)}\ 6:5 \mathrm{(C)}\ 3:2 \mathrm{(D)}\ 2:1 \mathrm{(E)}\ 3:1$