The dimensions of a rectangular sheet metal sheet are [[$ 0.700 $]] m and [[$ 0.850 $]] m. The sheet is cut into congruent equilateral triangles with base and height of [[$ 30.0 $]] mm. The cutting starts at the tip [[$ A $]], from which the triangles [[$ 1 $]], [[$ 2 $]], [[$ 3 $]], [[$ 4 $]], etc. are cut as shown in the figure. How many triangles can be cut in this way when only triangles like the one mentioned above are valid? (Source: Entrance examination for technical training, spring 1994)


The shorter side can fit the base upward triangles


The shorter side can fit the base downward triangles


Triangular rows obtained vertically

Total triangles obtained:


Answer: The number of triangles is .