Question 94
An equilateral triangle with the side length $7$ is divided into $49$ small equilateral triangles with the side length $1$, as it is shown on fig. 28. Parallelograms with side lengths $1$ and $2$ are cut from the triangle along the grid lines. What is the greatest number of parallelograms that can be cut in this way?
Fig. 28
Fig. 28